The Treasury said late on Saturday that Hunt would offer financial incentives for parents with young children, disabled people and others to rejoin the workforce in his tax and spending budget plan on Wednesday.
The government said it hopes the announcements this week will get hundreds of thousands of people into work.
Hunt also plans to allow disabled people and those with long-term health conditions to work without removing their supplementary financial support, the Treasury said.
"A Conservative government will always cut taxes when we can, but we won't run out of money.
We will be responsible with the public finances," he told Sky News.