Edouard made it two with a fine finish in the 42nd minute, before James Forrest drilled home a third on the stroke of halftime.
Further goals from Tom Rogic and Callum McGregor in the 47th and 53rd minutes added to Rangers' humiliation, as Celtic Park went into party mode.
Celtic should have won by a greater margin having missed a host of chances to add a sixth goal, but manager Brendan Rodgers will be delighted to have sealed a seventh crown in a row in such an emphatic manner.
Celtic's season is not over yet, as they still have the Scottish Cup final against Motherwell to come, as they chase an unprecedented second successive Scottish treble.
Rangers sit third, three points behind Aberdeen in second, with their managerial situation still shrouded in doubt, with former Liverpool and England midfielder Steven Gerrard linked with the job.
The 37-year-old Gerrard has been coaching with Liverpool’s development squad since retiring in 2016 and has said he wishes to become a manager.
Gerrard and Rangers chairman Dave King attended Liverpool’s Champions League semi-final first leg with AS Roma on Tuesday and the BBC has reported that Rangers are prepared to offer him the job even though he has no direct experience of Scottish football.
(Reporting by Peter Hall; Editing by Toby Davis)
