Celtic secured an eighth successive Scottish Premiership title on Saturday with a 3-0 win at Aberdeen that put them two-thirds of the way towards an unprecedented third consecutive domestic treble.

Saturday's title triumph came the day after former Celtic captain and manager Billy McNeill's funeral in Glasgow, and both he and fellow Lisbon Lion Stevie Chalmers, who also died recently, were hailed with a minute's applause before the match.

"Things just felt right this week, we kept calm with all the emotions with Billy funeral," said Celtic's interim manager Neil Lennon.

The former Hoops captain returned for a second spell as boss this season following Brendan Rodgers' shock decision to quit and join English Premier League side Leicester.

"On the outside it probably looks easy but on the inside there was a lot of discontent and agitation around the club at the time," said Lennon. "You had to keep calm.

"You need the hide of a rhinoceros and big cojones. I'm not sure I have got them but I certainly have a rhino hide. You need to bat it away and concentrate."

Celtic, who only had to avoid defeat at Pittodrie to be sure of retaining their crown, survived scares when Aberdeen's James Wilson twice hit the woodwork when the match was still scoreless.

But the away side took the lead five minutes before half-time when Mikael Lustig headed in a cross from Callum McGregor, and Jozo Simunovic doubled their lead with header from McGregor's corner six minutes after the break.

French striker Odsonne Edouard, played in by Tom Rogic, completed the scoring two minutes from time with his 21st goal of the season.

Victory gave Celtic an unassailable 12-point lead over second-placed Rangers, their arch Glasgow rivals.

And with the Scottish League Cup already won, Celtic -- still unbeaten under Lennon -- now just need to beat Hearts in the Scottish Cup final later this month to complete the historic 'treble treble'.

At the other end of the table, Dundee's relegation to the Scottish Championship was confirmed with a 1-0 loss to Hamilton at Dens Park -- their 10th successive defeat.

Dundee kicked off knowing they had to win to have any chance of avoiding the drop but Tony Andreu's penalty seven minutes from time after Mikel Miller was fouled ended their four-year stay in the top flight.