According to Rasmussen, 67 percent of Americans support oil drilling off the nation's coasts and 64 percent think it will lower gas prices.

House Minority Leader John BoehnerJohn Andrew BoehnerJordan hits campaign trail amid bid for Speaker GOP senator says he 'regularly' considers leaving Republican Party Republicans mull new punishments for dissident lawmakers MORE's (R-Ohio) office circulated the poll today as House Republicans push drilling as their solution to high gas prices.

The federal government prohibits offshore drilling, and Republicans have called for the ban to be lifted. Rep. John Peterson (R-Pa.) will offer an amendment to lift the ban tomorrow at an Appropriations Committee markup, the leadership office said.

Republicans have accused Democrats of inaction on gas prices, while House Democrats have blamed oil companies and market manipulation for high prices. House Dems have passed legislation to create a Department of Justice task force to investigate and prosecute oil cartels, and Democratic senators have called for regulation of oil futures speculation.

Rasmussen surveyed 1,000 "likely voters" on June 13 for the poll.