The Prime Minister will use a keynote speech to say he wants to follow in the footsteps of president Franklin D Roosevelt, who led the US out of the Great Depression in the 1930s.
Mr Johnson, speaking in the West Midlands later on Tuesday, will say the Government intends to spend £5 billion "to accelerate infrastructure projects”.
Some £1.5 billion is to be allocated this year to hospital maintenance, more than £1 billion for a 10-year school rebuilding programme, £100 million on road projects, and £900 million for "shovel-ready" local growth projects in England this year and next.
Announcing the plans, Mr Johnson expected to say: "It sounds positively Rooseveltian. It sounds like a New Deal. All I can say is that, if so, then that is how it is meant to sound and to be, because that is what the times demand: a Government that is powerful and determined and that puts its arms around people at a time of crisis.
"This is a Government that is wholly committed not just to defeating coronavirus but to using this crisis finally to tackle this country's great unresolved challenges of the last three decades.”
"To build the homes, to fix the NHS, to tackle the skills crisis, to mend the indefensible gap in opportunity and productivity and connectivity between the regions of the UK. To unite and level up.
"To that end we will build, build, build. Build back better, build back greener, build back faster, and to do that at the pace that this moment requires."
Opposition MPs accused him of not offering any new ideas and trying to "hoodwink" voters with rehashed manifesto promises.
Liberal Democrat education spokeswoman and party leadership contender Layla Moran said Mr Johnson was offering nothing new.
She said: "Boris Johnson is attempting to hoodwink the nation again with reheated promises rather than seizing this moment to move forward as a country.
"This speech looks like a rehash of manifesto pledges with no real plan to deliver a greener and fairer future. It shows this Government has already run out of ideas and run out steam.
"The Prime Minister also needs to realise that our infrastructure is human, not just bricks and mortar.
"We need a mass retraining programme and a cast-iron promise not to repeat the mistakes of the Thatcher years and leave entire communities behind."
Mr Johnson is expected to say: "Too many parts of this country have felt left behind, neglected, unloved, as though someone had taken a strategic decision that their fate did not matter as much as the metropolis.
"And so I want you to know that this Government not only has a vision to change this country for the better, we have a mission to unite and level up - the mission on which we were elected last year.
"If we deliver this plan together, then we will together build our way back to health.
"We will not just bounce back, we will bounce forward - stronger and better and more united than ever before."