Congressional backers of online antipiracy legislation called off their efforts Friday following a storm of opposition by Internet companies, effectively killing the bills in their current form.

Senate Majority Leader Harry Reid postponed a previously scheduled Tuesday vote on the Senate version of the bill, called the Protect IP Act. In the House, Rep. Lamar Smith (R., Texas), chairman of the Judiciary Committee, said his committee would postpone consideration of the House version, called the Stop Online Piracy Act, “until there is wider agreement on a solution.”

Mr. Reid (D., Nev.) didn’t give a detailed reason for the delay but said it came “in light of recent events.” On Thursday, the Senate’s top Republican, Mitch McConnell of Kentucky, had called for a delay.