First half goals from Jenson Bark, Marshall Young and Harry Cranfield did the damage for Lee Mitchell’s side at Grange Park.
Although the hosts cut the deficit before half-time, the Pilgrims held on to all three points with a controlled second half display.
Boston (4-1-4-1): Nick Ivanov (Jake Frestle 46); Will Jackson, Harry Cranfield, Daniel Fisher, Nathan Stevens (Finn Kirke 75); Lewis Bontoft; Xander Crashley, Marshall Young, Kyle Tate, Jenson Bark; Harrison Holland.