South West Trains passengers have been told not to travel on Monday, with most services not running until at least 8am.
A reduced timetable will be in operation and trains will be limited to 50mph in high winds.
A South West Trains spokesperson told the BBC: "Our advice to passengers is very clear; don't travel unless it is absolutely necessary."
Greater Anglia, which serves Essex, Suffolk and Norfolk, has suspended all services until 9am on Monday, and Southern has also said it is "highly unlikely" services will be running before 9am on Monday.
Travellers have been told not to make rail journeys on the busiest day of the week for railways.
Airports have also warned of disruption. Heathrow Airport has warned passengers that flights could be affected tonight and tomorrow morning.
The Met Office has issued amber warnings of wind and yellow warnings of rain in Britain.
On its website, it says: "A developing storm is expected to reach the UK later on Sunday. This is expected to run northeastwards, across England and Wales during Monday, with very strong winds on its southern and western flanks.
"We are expecting gusts of 60-70 mph widely and locally over 80 mph, especially on exposed coasts, both in the southwesterly winds ahead of the low centre and west to northwesterly winds behind it.
"20 to 40 mm of rain may fall within 6 to 9 hours, leading to localised flooding, especially where drainage is impeded by wind-blown debris."
Weird weather and strange phenomena around the world
Rail commuters hit as train companies cancel services ahead of storm
Tornados have been ripping through parts of the USA at an alarming rate during 2011. This example was captured on camera in Limestone County, Alabama, in April. A tornado is a violent, rotating column of air that it is contact with a cumulonimbus cloud and the ground. Also called twisters, they’re characterised by the condensation funnel that touches the earth, and are surrounded by clouds of dust or debris.
On 11 January, 2010, two pranksters decided to drive their car along the frozen Union Canal in Winchburgh, West Lothian, Scotland. Unfortunately for them, the thaw had already started to set in. The canal froze solid during he longest spell of freezing weather in the UK for almost 30 years.
This dust storm engulfed the desert city of Bikaner, in the western Indian state of Rajasthan on 2 April, 2010. The town was already broiling in temperatures of 39C. Dust storms happen when strong wind carries loose sand and dust away from one area and deposits it in another.
This image of the Northern lights was captured in the Takotna, Alaska checkpoint during the Iditarod Trail Sled Dog Race in March 2011. Occurring just within the Arctic and Antarctic circles, the Northern lights – or Aurora borealis, to give them their Latin name – are the light display in the sky caused by the collision of charged particles directed by the Earth's magnetic field.
This impressive rainbow resulted from a spectacular storm and was photographed in Brandon Hill Park near Clifton, Bristol, in the UK on 27 August, 2010. The rainbow seems to rise from the top of Cabot Tower - which is itself 105ft tall - showing its immense scale. Rainbows are an optical phenomenon that occur when the sun shines on to moisture droplets in the atmosphere.
This set of footprints in freezing rain was snapped in Lexington, Kentucky, USA on 16 December, 2010. Rain that falls and becomes ‘supercooled’ when surface temperatures are below freezing point can freeze on impact with anything it touches, unlike snow which remains only partially frozen. The resulting ice is known as glaze. Freezing rain is one of the deadliest weather conditions, bringing down power line and causing numerous road traffic accidents and personal injury.
This example of smog was pictured hanging over Moscow, on 7 August, 2010, and was caused by the billowing smoke from peat bog and forest fires. Smog was originally a description of the pollution resulting from factory smoke and fog in the 1900s. Today it’s more often caused when sunlight reacts with car exhaust, coal power plants or factory emissions and the compounds released from petrol, paints and solvents.
This crashing wave was caused by the approaching of the Hurricane Earl in Fajardo, Puerto Rico, in August, 2010. Earl battered some islands across the northeastern Caribbean with heavy rain and roof-ripping winds, rapidly intensifying into a major storm on a path projected to menace the United States. Hurricanes are triggered by low pressure areas forming over warm ocean waters.
In March 2011, the 'supermoon' was the closest it had been to earth for18 years lighting up the night sky from just 221,567 miles (356,577 kilometers) away. This snap was taken from Huntington Beach in Los Angeles.
Rainstorms come and go, but not usually as dramatically as this downpour which completely flooded the town of Wuzhou in southwest China on 9 June, 2010, proving that the trusty umbrella isn’t always protection enough...
Ash covered everything for thousands of miles after the eruption of Iceland's Grimsvotn volcano in May 2011 sent clouds of ash high into the air, carrying it toward the European continent on the wind, disrupting flights for the second time in less than a year.
This magnificent lightning strike hit a tower during a thunderstorm in Zurich, Switzerland on 12 August, 2010. Lightning occurs when the balance between the negative charge of storm clouds and the positive charge of the earth is redressed by a current passing between the two - with literally stunning results.
This halo around the sun was photographed on the island of Spitsbergen in the Arctic Circle on 19 April, 2011. These halos - spectacular and eerie at the same time - are caused by ice crystals in high clouds. They tend to occur during the summer months, during ‘midnight sun’ season in the Arctic and Antarctic Circles.
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Where to go in November
Rail commuters hit as train companies cancel services ahead of storm
You can’t beat the sunny Caribbean for a total contrast to the grey skies of Britain. And with the region emerging from its traditional hurricane season, this month is a great time to pick up some bargain beach action on the five-star white sands of the east coast or the wild Atlantic waters of the west. But take in some sights, too - the bustling capital Bridgetown, historic sights from slavery times such as the Morgan Lewis Sugar Mill, and the remarkable underground warren of limestone caverns at Harrison’s Cave.
November marks the end of the wet season here and though there may be the odd tropical downpour, you can pretty much guarantee six hours of sunshine a day and temperatures hovering around 27C. A holiday in this nation of more than a thousand coral islands and atolls is all about lying on white-sand beaches, diving beneath the waves to see the kaleidoscope of marine life, and luxuriating in the world’s top spas. This is the desert-island dream with prices to match, but if you visit this month you can pick up bargains that defy the price hikes in winter high season.
The cooler air descends on this Middle East hotspot this month making it a pleasant time to explore, especially for those who like to mix a little activity with their culture. There’s much to see and do, from browsing the Mutrah Souk in the ancient capital Muscat to wadi bashing in a 4WD along the riverbeds of rocky valleys. Grand mosques, desert forts shaped like sandcastles, and the stupendous rolling dunes of the Wahiba Sands are also on the agenda in this intriguing destination.
Take advantage of the cooler weather to do the double. Immerse yourself in this vibrant North African city, where snake charmers are just one of the exotic sights to see in the medina marketplace, the Djema el-Fna. Next, head an hour or so south to the slopes of Morocco’s highest peaks to trek along mountain paths calling at ancient Berber villages.
The Canaries are a favourite spot to flee to from the British winter, its six main islands including the ever-popular Tenerife, Lanzarote and Gran Canaria. But strike out to the quieter shores of La Gomera, a wild beauty that has been saved from the ravages of mass tourism by its spectacular landscape of deep ravines, lush rainforest and volcanic beaches.
Head to the Serengeti in Tanzania later this month to see herds of more than a million wildebeest, accompanied by hundreds of thousands of zebra and antelope, feed on the grasses of the great plain before they begin their annual migration once more, chasing the rains for more than a thousand miles.
Don’t be fooled, Istanbul may bridge Europe and Asia, but it can be on the chilly side this month. No matter, pull on a fleece and pop an umbrella in your bag then step out into less crowded streets to enjoy top sights such as the opulent Topkapi Palace, the grand Blue Mosque with its six minarets, and the cavernous Basilica Cistern. And after you’ve had your cultural fill, pull up a seat in the nearest restaurant to discover Turkey’s other great attraction, the food. Dine on traditional winter warmers such as Hünkar Begendi, a dish of pureed eggplant, cashar cheese and diced lamb fit for a sultan.
Forget New York, Boston is the place to make the most of the strong pound and get a head-start on that Christmas present list. This charming historic city has a compact, walkable heart and a pleasing variety of shopping experiences, from the brownstone boutiques of Newbury Street, to the cobbles of Quincy Market, and cosy indoor malls such as the Prudential Center. What’s more, shopping taxes are lower and many hotel rooms bigger than in the Big Apple, so you’ll get more bang for your buck.
Get ready to fill those stockings, the festive season gets off to an early start mid-month as the Christmas markets set up their fairylight-bedecked stalls in the squares of towns and cities across Europe. Drink glüwein as you browse nativity scenes and buy baubles for your tree from Arles to Zurich.
So you can’t wait to hit the slopes? Well, November is still a little early but there’s always the chance of some action on the glaciers. Les Deux Alpes and Tignes in France, Hintertux and Stubai Glacier in Austria, Saas Fee and Zermatt in Switzerland are all good bets.