Marcus Jordan — Michael Jordan‘s son — has entered into an agreement with prosecutors to close out his DUI case … and part of the deal includes a stipulation where he must write an apology letter to one of the cops he berated during his arrest.

Court documents TMZ Sports has obtained show on Sept. 12, Marcus signed a pretrial intervention contract in Orange County, Fla. with the goal of having his criminal charges dismissed.

According to the docs, Marcus must meet multiple conditions over the next 12 months … and if he does, prosecutors have agreed to enter a nolle prosequi on the three charges — possession of ketamine, resisting officer without violence and DUI — they hit him with stemming from his now-infamous February run-in with police.

The case, of course, was opened against Marcus after he was accused of drunkenly getting his Lamborghini SUV stuck on some train tracks during a February night out in Maitland, Fla.

During his arrest, police video showed Marcus name-dropped his famous father in an apparent effort to get out of trouble … before cops said he acted like a jerk throughout his time in custody.