Olivier Ntcham's second-half goal ensured Brendan Rodgers got the better of his former player Steven Gerrard at Celtic Park.
Steven Gerrard suffered his first defeat as Rangers manager as Celtic ran out deserved 1-0 winners in the first Old Firm derby of the season.
The game pitted Gerrard against his former manager at Liverpool, Brendan Rodgers, but a first Scottish Premiership win for his side over their bitter rivals since 2012 rarely looked likely in a game the Bhoys dominated.
After striking the crossbar three times, the hosts finally got the breakthrough they deserved after 62 minutes as a flowing counter-attack saw James Forrest send a cool pass across goal for Olivier Ntcham to deliver the decisive blow.