DETROIT — Toyota’s problems with runaway acceleration just won’t go away.

Three years after the company recalled its first cars over unintended acceleration, it has identified two more models at risk. They are the 2010 Lexus RX 350 and RX 450H SUVs.

Toyota said Friday it will recall 154,000 of the SUVs because their floor mats can trap the gas pedal and cause the SUVs to speed up without warning. US safety regulators, who asked Toyota to recall the vehicles, may investigate whether the company reported the problem fast enough.

The Japanese automaker has recalled more than 14 million vehicles globally to fix problems including sticky gas pedals and floor mats. Toyota says it thought the acceleration problem had been solved when it began selling the Lexus SUVs.

Toyota spokesman Brian Lyons said the company is cooperating with NHTSA and provided information in a timely manner. Owners of the Lexus SUVs should take out the driver’s side floor mat and have their vehicles serviced as quickly as possible, NHTSA said.