Treviso were reduced to 14 men in the early stages, allowing Glasgow to dominate - scoring three tries in the first period and two in the second.
Ruaridh Jackson proved reliable from the kicking tee, slotting five kicks between the sticks and collecting the man of the match award. Duncan Weir also added to the scoring with two late conversions.
The home side were unable to keep a clean sheet though, as Treviso scored a second half try.
The Warriors fielded a strong line-up, making only three changes from the side which clinched the 1872 Cup at Murrayfield.
Dougie Hall made his 100th appearance for the club and Graeme Morrison started his first match since October.
Gregor Townsend's decision to play an experienced 15 paid off as his side sped into an early lead.
After just three minutes, Jackson slammed the ball between the posts from close range.
Treviso were then struck a huge blow with just five minutes on the clock when Manoa Vosawai was sent packing following a dangerous tackle on Glasgow skipper Al Kellock.
Glasgow looked to take advantage of the extra man on the field and it was not long before they doubled their lead with Jackson making no mistake from a penalty.
With 25 minutes gone, Warriors sailed into a 13-0 lead following a converted try.
The move started on the flank where Stuart Hogg and Tommy Seymour combined before the winger's kick was pounced on by DTH Van Der Mewe, who notched his eighth try of the season.
Treviso looked disorganised and three minutes later they found themselves 20-0 down.
An attempted charge down by Hogg forced Luke McLean to perform an unconvincing clearance. Glasgow immediately attacked through Ryan Wilson, who marauded forward before passing to Hogg - and he made no mistake in sprinting towards the try line. Jackson continued his good form and collected the extra points.
As the half drew to a close, Treviso made attempts to get on the scoreboard but they proved in vain after a misplaced pass metres from the line cost them dear.
Seymour intercepted the loose ball and rampaged towards the opposite end of the pitch - and before the half-time whistle blew, Jackson was able to extend Warriors lead to 27-0.
In the second period Treviso struck first with a try from Francesco Minto, following a chipped kick which was converted by Kristopher Burton.
Treviso made a vast improvement from their disappointing first half showing but Warriors were still able to add to the scoresheet. A darting run from pacey substitute Nikola Matawalu led to a try and Duncan Weir was able to convert.
Despite not impressing in the first part of the season, Hogg was able to boost his Scotland credentials with a late try and Weir was on hand to make the score 41-7 and add to Treviso's misery.
- Sports & Recreation