People taking their first step on the property ladder took out 34,300 loans for house purchase in June with a total value of £5.5 billion - marking a 24% leap in the number of loans compared with May and 17% more than in June 2015.
The report from the Council of Mortgage Lenders shows the June figure is the highest for first-time buyer lending since 35,300 loans were handed out in August 2007.
Existing home-owners who were moving house took out 33,900 loans in June, up 28% on May and 0.3% on the same month a year earlier.
June was the third month running that the number of first-time buyer loans being handed out was running at a higher level than the number of home-mover mortgages. This trend had not been seen previously for 20 years.
The cut in the Bank of England base rate to 0.25% last week could mean some first-time buyers find they can get cheaper mortgage deals in the coming months, although experts have also warned that low savings returns will make it harder for aspiring first-time buyers to build a deposit.
The CML's figures mostly reflect the housing market in the run-up to the referendum, with the vote taking place on June 23.
They also show that lending to buy-to-let landlords showed signs of recovering in June, after a three percentage point stamp duty hike for this sector was imposed on April 1.
Some 6,000 loans were handed out to those purchasing buy-to-let properties in June, marking a jump of one third (33%) compared with May. But the figure is still 42% lower than it was in June 2015.
Paul Smee, director-general of the CML, said: "These figures reveal growth in house purchase activity and in particular for first-time buyers. As ever, there is uncertainty and it will take more time and patience to understand how the market will evolve in the current environment - these figures predominantly cover activity in the run-up to the referendum.
"We still believe that the mortgage market is well capitalised, resilient and open for business, and will remain so for the foreseeable future.
"First-time buyers are continuing to drive house purchase lending, outperforming home- movers for the third month running.
"More loans were advanced to them in June than at any time since August 2007.
"Buy-to-let house purchase activity remains lower than before the stamp duty changes at the beginning of April, but showed a large month-on-month increase."
Mark Harris, chief executive of mortgage broker SPF Private Clients, said June's lending figures show a "robust market with a good representation of first-time buyers".
He said: "Admittedly the figures are for the run-up to the referendum so it is too early to say what impact that has had on the market.
"What we are seeing post-referendum is lenders keen to lend, resulting in some very attractive mortgage rates. Despite last week's base rate reduction already being factored in to the pricing of many mortgage deals, falling swap rates have since enabled some lenders to cut rates further."
Andrew McPhillips, chief economist at Yorkshire Building Society, said: "We expect lending to continue to grow on an annual basis, but at a less pronounced level now following the outcome of the EU referendum, which may cause some to wait until the dust settles before getting on the property ladder."