Boston had to come from behind twice against Shrewsbury at York Street with all the goals coming in the first half.
Richard Logan put Shrewsbury ahead after 25 minutes with a low deflected20-yard drive, before Jason Lee headed home Courtney Pitt's fine delivery.
Soon afterwards Ben Smith cashed in on a weak Lee Beevers back-pass torestore the visitors' lead.
But Boston levelled again in the 42nd minute when Andy Kirk fired home after good work from Chris Holland.
Boston Utd: Nathan Abbey, Beevers, Ellender, Greaves, McCann, McManus (Thompson 54), Bennett, Holland (Noble 86), Pitt, Lee, Kirk (Zema Abbey 73).
Subs Not Used: Strong, Gascoigne.
Goals: Lee 31, Kirk 42.
Shrewsbury: Howie, Moss, Tinson, Whitehead, Challis, Sedgemore, Street (Stevens 45), Tolley, Smith, Logan (Walton 88), Rodgers (Grant 78).
Subs Not Used: O'Connor, Hart.
Booked: Moss, Howie.
Goals: Logan 25, Smith 34.
Ref: C Oliver (Northumberland).