Kid is back in the good graces of LA law enforcement -- TMZ has learned, a judge just recalled the arrest warrant issued last week for the former Kid 'n Play rapper.

TMZ broke the story ... the warrant was issued after Kid -- real name Chris Reid -- failed to show up for a January 5th progress hearing regarding his 2010 DUI arrest.

But Reid tells us, the missed court date was a total accident -- and based on official court records, the judge bought his excuse ... quashing the warrant and reinstating Kid's probation.

Kid tells us, "All matters were resolved. Everything was taken care of."