The match at York Street was called off because the away team were unable to reach the stadium.
The club's coach broke down on the way to the Vanarama National League North fixture, meaning they could not get to Boston in time with the team stranded on the A1.
Spennymoor have apologised and offered fans travelling on their supporters coach a full refund.
“It is the priority of both teams, ourselves and Boston, to prepare our players as best we can so that they perform at their highest levels and represent their club and all associated with the club to the standard the supporters deserve. Because of this obligation, the decision was made to postpone the game," the club's management team said.
“Boston kindly offered a minibus, but the coach had come to a stop approximately two hours from its final destination, meaning a minimum four-hour turnaround, most likely longer in heavy traffic which had already delayed our mechanic.
“We’d like to reiterate that this decision was made by the match referee with the full support of Spennymoor Town.
“Again we apologise for any inconvenience caused to anyone.”