Garbutt, classified by the league as a "repeat offender", was banned without pay for an incident with Edmonton Oilers winger Taylor Hall in Dallas' 3-2 win on Tuesday.
Hall was tripped in the third period of the clash, forcing Garbutt to sit out for a minor penalty.
The 29-year-old Canadian was handed a five-match sanction for boarding then-Anaheim Ducks player Dustin Penner in 2013, and was also fined for spearing last season.
Garbutt will lose more than $43,000 in payments as he misses clashes with the Minnesota Wild on Friday, and the Colorado Avalanche on Saturday.
Jets forward Lowry earned a one-match suspension for boarding Buffalo Sabres winger Patrick Kaleta, and will sit out their trip to the Boston Bruins on Friday.
Former Kotoko Player George Asare elected SRC President at PUG Law Faculty
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