Long away trip was ended with two second half goals.
The first half was devoid of few clear cut goalscoring chances. The best two came in the closing minutes of the half for the visitors. Ryan Wynter was a whisker wide after the home goalkeeper punched a corner away.
Then Wynter headed goalwards right on the whistle and keeper Michael Duggan got there a split second before Jake Lovatt.
Spalding took the lead 7 minutes into the second half when Josh Sedgley was adjudged to have fouled Jenk Acar and Gary King converted the penalty.
Chasetown sub Will Whieldon almost levelled the scores with a 25 yard free kick which rustled the side netting next to the angle of post and crossbar.
Spalding doubled their lead in the 79th minute with a Nathan Whitehead volley that wrong footed goalkeeper Curtis Pond.