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It was sweet revenge for the Celtic League champions who suffered a 19-14 defeat by the Scots in the Celtic Cup three weeks ago.
Glasgow finished strongly, scoring a couple of consolation tries to make the scoreboard look a bit more respectable, but in truth they were comprehensively beaten.
Despite camping in the Glasgow half for most of the opening period it took Munster 37 minutes to edge in front when Jeremy Staunton kicked a penalty.
The home side then struck for their opening try in injury-time with Mike Mullins racing in from 30 metres, with Staunton converting for a 10-0 interval lead.
The second half continued in the same fashion with Munster on top in the forwards and they again pinned Glasgow back in their own territory.
Three more Staunton penalties increased their advantage to 19-0 after 55 minutes before Glasgow’s frustration led to a couple of yellow cards.
At one stage the visitors were reduced to 13 players after Donnie MacFadyen and skipper Paul Dearlove were sent to the sin-bin for killing the ball in rucks.
Munster took advantage by scoring a second try after 69 minutes. Lions flanker David Wallace finished off a fine move to score under the posts with Staunton easily adding the extra points for 26-0.
Graeme Morrison and Stuart Moffat crossed for late Glasgow tries but they were little more than consolation efforts.