The UK was among the top 10 countries for electric vehicle sales in 2017, and has around 14,500 public charging points. However, in its report the committee said the country was far from electric vehicle ready.
The MPs said the UK's charging infrastructure was still inadequate, and gave rise to "range anxiety" - potential buyers of electric vehicles worrying whether they will be able to reach the next charging station.
The report said the government had left delivery of charging points to councils and private companies when a "shared approach" was needed.
In addition, it called plans announced last week to slash subsidies for less-polluting vehicles "perverse". The government will end grants for new plug-in hybrids in November and the subsidy for cars that are purely electric is being reduced from £4,500 to £3,500.
The purchase costs of electric vehicles remain very high relative to internal combustion engine vehicles, the report said, and therefore "incentives are required to encourage motorists to make the switch".
Some European countries, including Denmark, Germany and Ireland, plan to ban sales of new petrol and diesel cars from 2030, ten years ahead of the UK.
But Mike Hawes, head of the Society of Motor Manufacturers & Traders (SMMT), said calls to shift to entirely electric-powered cars by 2032 were "unrealistic".
"Zero emission vehicles make up just 0.6% of the market, meaning consumer appetite would have to grow by some 17,000% in just over a decade," he said.
Nicholas Lyes, head of roads policy at the RAC, said he understood the rationale for wanting to bring forward the end of conventionally-fuelled vehicles, but said to achieve that it "would have to be matched with bold and decisive action from the government".
The Department for Transport said its green car strategy was one of the most comprehensive in the world. A statement said it was consulting on legislation to make all new homes "electric vehicle ready".
"We want between 50% and 70% of new car sales to be ultra low emission by 2030, and for all new cars and vans to be effectively zero emission by 2040," a spokeswoman said.
"And we also outlined measures to bring forward a major uplift in electric vehicle charging infrastructure, paving the way for the widespread adoption of ultra-low emission vehicles."