Stumbo and the top House Republican, Jeff Hoover, said Friday they will be lead sponsors of the local-option sales tax proposal during next year's legislative session.
Stumbo says the proposal is gaining support in the House.
The proposal would let local governments impose up to an extra 1 percent sales tax to raise money for big construction projects. Voters would have to approve the tax first.
The measure would go on the 2016 ballot as a constitutional amendment if it clears the legislature.
The mayors of Louisville and Lexington spoke up for the proposal Friday, as did the Daviess County judge-executive.