Steven Gerrard’s side are the first to go unbeaten since Brendan Rodgers’ Celtic in 2016-17 and also matched their city rivals’ 107-year-old clean-sheet record.
Rangers’ task was made easier by Joe Lewis’ unfortunate early own goal, with Kemar Roofe adding further efforts either side of the break, and Jermain Defoe scoring a late fourth.
The Ibrox side lived dangerously at the back in the second half but survived with their goal intact to finish the campaign having gone 26 league games without conceding.
The 13 goals they have conceded is one fewer than Celtic allowed in the 1913-14 season.
And, having won all 19 home league games, Rangers matched the feat achieved by Martin O’Neill’s Celtic, who ultimately went on to win 26 consecutively between 2002 and 2004.
Rangers have now not lost to Aberdeen in eight meetings, winning all four of their encounters this season, including two 4-0 wins at Ibrox.
Having not scored in their previous four most recent visits to Ibrox and having already finished in fourth place, Stephen Glass’ side started like one with little to play for and little belief that they could end Rangers’ dominance.
Contrasting fortunes of rival captains handed Rangers the initiative as a James Tavernier cross struck defender Jack MacKenzie and goalkeeper Lewis contrived to divert a ball into his own net that looked to be spinning wide.
The sound of chanting fans anticipating the post-match trophy presentation continued to grow outside an empty Ibrox from a low murmur to a constant hum – interspersed with the wail of the occasional police siren – as Rangers extended their lead.
Ryan Kent forced his way past Connor McLennan’s weak tackle to make it to the bye-line and his low cross into the six-yard box was flicked towards goal by Roofe, once again going in off the unfortunate MacKenzie.
A double half-time substitution by visiting manager Glass turned the tide – but without improving the scoreline.
Unmarked substitute Fraser Hornby failed to turn in a Ryan Hedges cross to the back post, Lewis Ferguson fired against the underside of the bar with an even more open goal gaping, and SPFL Premiership player of the year Allan McGregor produced a series of saves.
However, two defensive slips allowed clinical Rangers to add the gloss to an outstanding season, in which they finished 25 points clear of deposed champions Celtic. as Roofe and Defoe stroked past a hapless Lewis.
