General Motors Co. will recall about 7,600 Chevrolet Caprice police vehicles for a transmission issue, making this the 75th safety recall action the auto maker has taken this year and putting the number of total vehicles recalled by the company in North America at well over 30 million.

The recall, posted by the National Highway Traffic Safety Administration on Tuesday, covers certain 2011 through 2013 model year Caprices. The vehicles are police patrol cruisers equipped with a specific transmission selector lever that contains two pins that can become displaced.

If the pins get displaced, the driver may be able to shift the vehicle from "park" without depressing the brake pedal or remove the ignition key without the transmission being in "park." The situation may lead to vehicles rolling away.

This is the second time in three days the auto maker has recalled certain Caprice models. The company had recalled some versions of the 2011 and 2013 model years for an ignition switch issue. A bumping of the ignition key could cause the switch to move from "on" to "accessory," thereby disabling the air bags.

This also marks the seventh recall issued by the company since Thursday.

The company has now recalled approximately 30,011,650 vehicles in North America this year after pledging to take quicker action to spot and react to problems in the wake of its failure to recall 2.6 million cars with an ignition switch problem for about 11 years.

Write to Jeff Bennett at jeff.bennett@wsj.com

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