Montero has scored a brace in his last two MLS matches, a first in his career, and nine of his team-lead 11 goals on the season have come on the road.
Sounders FC (16-6-9, 57 points) is now 6-0-1 in their past seven road games over all competitions and have the league's best record (6-6-3) after allowing the first goal. Seattle remains second in the West.
The loss for New England (5-14-12, 27 points) is the third in a row and drops their home record to 4-5-6 this season.
Montero's winner came in the 48th minute after David Estrada's shot was deflected up the air only to be chested down by Nate Jaqua to set up Montero, who poked it past keeper Matt Reis.
Montero's 11 goals is one shy of his 2009 career-high (12). He has scored (five) or assisted (three) in Seattle's last six MLS matches, a league-best.
The Revolution scored the match's first goal in the 35th minute when Diego Fagundez was left unmarked on a corner kick by Benny Feilhaber. Fagundez headed the ball in past Kasey Keller for his second MLS goal.
Just a minute after Fagundez's goal, Montero responded when Revolution defender Ryan Cochrane misplayed a ball, allowing the Sounders forward to put the equalizer in with his left foot past Reis.
Montero almost picked up a hat trick in the 58th minute on a header but Reis made a diving save to deny the Colombian striker.
New England outshot Sounders FC 13-3 in the first half, including a goal by Milton Caraglio in the fourth minute that was flagged offside.
Midfielder David Estrada made his second career MLS start for Sounders FC. It was his first start since April 22, 2010 when the Sounders tied Dallas 2-2. In the 34th minute he set Nate Jaqua up with a well-placed cross, but Jaqua's header missed wide.
Montero picked up a yellow card in the 29th minute after an aggressive tackle on Benny Feilhaber. Montero is now suspended for Seattle's next MLS match on October 8 against the Philadelphia Union.
(Courtesy of Sounders FC)