The Trump Organization said late Tuesday that it was implementing a system to weed out undocumented immigrants who try to get jobs at its properties. The move followed reports in The New York Times last month that the president’s company was employing people at its flagship golf club in New Jersey who are in the country illegally.

“We are actively engaged in uniforming this process across our properties and will institute E-verify at any property not currently utilizing this system,’’ Eric Trump, an executive vice president of the company, said in a statement. “As a company we take this obligation very seriously and when faced with a situation in which an employee has presented false and fraudulent documentation, we will take appropriate action.”

Thousands of employers have enrolled voluntarily in the government’s E-Verify electronic system, which checks documents provided by new hires against Social Security Administration and Department of Homeland Security records. A mismatch suggests that the person is unauthorized to work.

All federal contractors must use E-Verify, and 22 states require at least some private and public employers to do so. The federal E-Verify database suggested that the Trump Organization did not use heightened employment document verification procedures at several of its properties, meaning that the chances of employing undocumented workers was high.