In a move to crack down on dangerous driving, Patrick McLoughlin indicated that fines for a variety of offences would rise by 50%, from £60 to £90.
The number of penalty points offenders receive on their licence will remain at three.
The cost increase will cover fixed penalty notices for the offence of using a hand-held device while driving, the Daily Mail said, and also for speeding and going through a red light.
A new penalty of three penalty points and a £90 fine will also be introduced for a number of careless driving offences, including cutting off other drivers, eating a sandwich or lighting a cigarette at the wheel, driving at an inappropriate speed and needlessly hogging the middle lane on a motorway.
New drug-driving laws will also be introduced, and the current drink-drive limit will not be lowered.
Mr McLoughlin, who admitted at a road safety conference in London that he had used a mobile phone to make calls while driving, but would not do so now, said: "We want to send a clear message to dangerous drivers: If you continue to show complete disregard for the safety of other road users, we will catch you - and we will punish you."
Professor Stephen Glaister, director of the RAC Foundation, said: "With both texting and hand-held use of mobile phones at the wheel causing more impairment than being at the drink-drive limit or under the influence of cannabis, the police need to target the large number of motorists continuing to flout the law."
A spokeswoman for the Department for Transport said: "This is something the Government is looking at, but a decision hasn't been made on this as yet."
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