TOKYO — Toyota will offer the same fix for stability control programming it has announced for the Lexus GX 460 in North America to vehicles in other regions, affecting 34,000 vehicles worldwide, the Japanese automaker said today.

Toyota Motor Corp. will update the stability-control software program to reduce the risk of vehicles sliding in some Land Cruiser Prado vehicles, as well as the Lexus GX 460, sold in other regions, the company said in a statement.

The move to expand the measures to other regions follows Toyota's recall in North America and its agreement yesterday to a record $16.4 million fine in the U.S., levied for a slow response in earlier recalls.

Toyota has been fighting to regain its once-sterling reputation amid a spate of recalls, which have ballooned to more than 8 million vehicles worldwide, needing fixes for faulty gas pedals and floor mats and braking software problems.

Toyota has also been trying to be quicker. The latest fix comes less than a week after Consumer Reports, an influential U.S. magazine, issued a warning about the Lexus GX 460 sport utility vehicle, saying it may be prone to rollovers.