Cruising to their first Pool Three win, the defending champions notched two tries while Devin Toner was in the sin-bin, with Eoin O'Malley, Brian O'Driscoll's deputy in the number 13 jersey, scoring both.
Rob Kearney and Gordon D'Arcy also touched down as the bonus point was secured by the 40th minute, the Warriors' cause not being helped by a high error count.
Duncan Weir kicked two first-half penalties for the visitors, who had snatched a shock win here in the RaboDirect PRO12 in September.
Man-of-the-match Jamie Heaslip led Leinster's command of the collisions and they continued to be efficient in all facets after the break, weathering an early storm from the Scots.
Glasgow gained some consolation with a late try from replacement scrum half Henry Pyrgos, but Isaac Boss had the final say for Leinster in injury-time.
Weir, Glasgow's man-of-the-match in last weekend's win over Bath, banged over a long-range penalty in the third minute to nudge them ahead.
But right from the restart, Leinster capitalised on an error from the visitors to put Kearney over in the right corner. Showing great vision, Sexton hung up a cross-field kick for Isa Nacewa and he drew the tackle before feeding Kearney for the score.
The conversion was expertly added from wide out by Sexton, whose half-back partner Eoin Reddan was to the forefront of a bright opening spell.
Stuart Hogg rampaged downfield to bring the Warriors into the hosts' 22 but the home defence held firm and Nacewa's kick chase on the right led to Sexton hammering over a penalty, having earlier missed one from the other side.
Glasgow replied through the boot of Weir, who split the posts after Leinster's Toner was sin-binned for pulling down a player at a lineout.
However, Leinster were beginning to find their rhythm in attack and they went for the jugular when Sexton took a quick tap. Having been pulled to the left and right, Glasgow were caught out by their posts as Heaslip powered into contact and O'Malley snuck over from the ruck.
Six minutes later, Heaslip broke from a scrum in the Scots' 22 and when play was swept back into midfield, D'Arcy's superb short pass sent O'Malley darting through for his second seven-pointer.
Glasgow's share of possession dwindled as half-time approached and some neat interplay between Sean O'Brien and Nacewa sent D'Arcy over to the right of the posts.
Sexton tagged on his fourth successful conversion, giving Glasgow a mountain to climb at 31-6 down. They pressed early in the second half, with Ryan Wilson being brought down just inches short of the try-line.
Al Kellock and Richie Gray were prominent as Sean Lineen's side raised the tempo, with winger Tommy Seymour unfortunate to knock on in plenty of space.
Glasgow were the aggressors for much of the closing half hour, Leinster seemingly content to empty their bench and trust their defence.
They were caught out when Troy Nathan thundered straight through a 74th-minute ruck and passed for fellow replacement Pyrgos to touch down, with Weir converting.
But Leinster finished the game on the attack, a half-break from Ian Madigan and Shane Jennings' deft one-handed flick creating the opening for Boss to round off a satisfying Sunday afternoon for the province.
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.