A 12-year-old boy has been charged in relation to alleged racist chants directed at a Rangers player in the game against Celtic at Celtic Park on December 29.
Superintendent Mark Sutherland, of Greater Glasgow Division, said: "Abuse of any form is completely unacceptable and Police Scotland will continue to rigorously investigate any reports of abuse we receive and bring those responsible before the relevant authorities.
"We'd remind the public that, as the person charged is below the age of 18, he cannot be named or identified for legal reasons as per the Criminal Procedure (Scotland) Act 1995."
A Nikola Katic header secured a 2-1 win for Rangers in the Old Firm derby - their first victory at Celtic Park since 2010.
Ryan Christie was handed a retrospective two-match ban after he caught Alfredo Morelos in the groin area during the game, while the Colombian striker was also sent off late on for the visitors for simulation.
The win moved Rangers to within two points of Celtic with a game in hand but Steven Gerrard's side have struggled since the winter break.
They now sit seven points behind, still with a game in hand, after defeat away to Hearts and a goalless draw at home against Aberdeen, while Celtic have won all seven games in all competitions since returning from the winter shutdown.