Shuttleworth made his best stop in the 15th minute against Osvaldo Alonso en route to his first shutout of 2013.
New England (1-2-2) saw its goal drought extend to 388 minutes.
Seattle goalkeeper Michael Gspurning, meanwhile, didn't need to make a save thanks to a strong Seattle defense, also notching his first shutout this season.
Steve Zakuani and Lamar Neagle had the best scoring chances for Seattle (0-3-2), which dominated play but remained winless in the Western Conference cellar.
Swim Week Miami Beach 2014 [PHOTOS]