Simon Easterby’s reign as head coach began in style with a seven-try thrashing of Heineken Cup holders Leinster last Saturday and they backed that up with another impressive display at Scotstoun.
Aarron Shingler and Andy Fenby crossed for first-half tries, with Wales wing George North adding a third mid-way through the second period.
Returning fly-half Rhys Priestland missed all three conversions but did add a penalty as the visitors spoilt the party for the Warriors’ first game at their new home.
And while the result was no where near as comprehensive as their opening day triumph, the nature of the victory was far more comfortable than the scoreline suggests.
Chris Cusiter’s well-taken try with five minutes to go added an air of respectability for the hosts and made the closing stages more nerve wracking than they should have been but the Scarlets never looked like heading home with anything over than a win.
Shingler was first to go over on 23 minutes after what had been a slow start for the Scarlets who found themselves 3-0 down to Ruaridh Jackson’s 6th minute penalty.
The blindside then went from hero to villain in the space of four minutes as he saw yellow for a high tackle.
Jackson and Priestland both missed penalty attempts in the time that Shingler was off the field but the Scarlets were celebrating once more almost as soon he returned.
Jon Davies’ kick ahead was pounced on by Fenby in the left-hand corner and the Scarlets were 10-3 to the good just two minutes before the break.
Glasgow did strike back with a second penalty from Jackson on the stroke of half-time but that was as good as it got for the Scots until the closing stages.
A Priestland penalty on 46 minutes restored the seven-point cushion before North darted over from close range 11 minutes later following a fine miss pass from Scott Williams. North, like Fenby, bagged a brace against Leinster, meaning the Scarlets’ first-choice wings both have three tries in two games so far this term.
A raft of substitutions disrupted the flow of the game late on but the Scarlets kept their composure to remain two scores clear until Cusiter’s consolation effort.
Duncan Weir’s straightforward conversion made it a five-point ball game but a Warriors win would have been an injustice.