In a match switched to The Jakemans Stadium due to ongoing pitch problems at Ashby Avenue, the Whites led at half-time through Kevin Hemagou and saw their position strengthened when Boston keeper Dylan Parkin was red-carded for a foul on Paul Grimes, although the Lincoln striker spurned the resultant spot-kick.
Matt Cotton soon doubled the Whites' lead but Boston staged a late rally to seemingly take the match to penalties through Grant Roberts and Andre Johnson, but Michael Jacklin had the last laugh with a stoppage time winner.
Boston (4-4-2): Dylan Parkin; Sam Topliss, Ryan Qualter, John McCombe (Ben Middleton 59), Ashley Jackson; Nicky Walker (George Willis 50), Harry Middleton (Grant Roberts 46), Andi Thanoj (Brad Abbott 59), Nathan Arnold (Jordan Gough 69); Jonny Margetts (Gary McSheffrey 59), Adam Marriott (Andre Johnson 69).
Referee: Mark Swift.
Attendance: 376.