Goals from Lee Stevenson and Shaun McWilliams saw King's Lynn bounce straight back from their FA Vase elimination.
The Linnets brought an end to their three-game goal drought with two goals in the first half.
Toby Hilliard had already headed against the crossbar and Ryan Fryatt had headed against the post before Stevenson turned home a Michael Clunan free-kick.
The hosts then hit the post before McWilliams doubled Lynn's lead, beating the centre-back and firing home on his left boot.
It was a dominant first half from the Linnets, setting them up to stretch their unbeaten league record to five matches if they could see out the game.
However, Basingstoke hit back with a goal after the break and Lynn keeper Alex Street was required to keep the home side at bay – and hold on to all three points.
Lynn, who also announced a home shirt sponsorship with local firm Double G Clothing yesterday, are back in action on Saturday when they host mid-table rivals Dorchester.
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