Speaking to The Times, he pledged to deliver on the goals of Johnson, but end a period of "often-distracted" government.
He also said he was "determined" to address the cost of living crisis in the UK and rebuild the economy so it is the biggest in Europe by 2050.
Shapps said he would hold an emergency budget in his first 100 days in office, instructing his chancellor to cut personal tax for the "most vulnerable" and giving state support to firms with high energy consumption.