The Poachers were denied a slice of FA Cup glory on the opening day of the season.
Aaron Eyett opened the scoring in the first half but his goal was soon cancelled out by the Nottinghamshire visitors.
Jordan Nuttell restored Boston's lead from the penatlyspot only for a late Radford equaliser to force a replay, which will take place this Tuesday (8 August).
This means the scheduled league game against Holbeach will be rearranged.
The eventual winners face a tough task in the next round at home to Evo-Stik side Carlton Town on Saturday 19 August.
Photo: (C) Boston Standard