During a meeting in the Oval Office, he said, President Trump urged Kudlow to "get it out by September," which would be two months before the 2020 election.
"It'll come out sometime in September," Kudlow told FOX Business' Maria Bartiromo.
The administration, he said, will likely use the Office of Management and Budget Director Russell Vought's $1.4 trillion budget request to craft the package and make tax cuts permanent.
Kudlow said the administration plans to give the middle class a 10 percent tax cut in addition to strengthening and making permanent "some of the other tax cuts."
Many of the individual tax cuts in the Tax Cuts and Jobs Act of 2017 expire in 2025.