Shane Byrne's penalty was the difference between the teams as Brackley found a way past impressive Eastleigh goalkeeper Nick Townsend in a 1-0 win.
Matt Lowe's drive after a flowing move was saved at the second attempt by Townsend and Morgan Roberts curled a free-kick just wide.
Lowe was denied again before Byrne's spot-kick gave the hosts a half-time lead, thanks to Cameron Gregory then saving Aaron Blair's lob.
Town went close to a second through Zak Brown's curler and Kyle Morrison's header, with Townsend spreading himself well to again save from Lowe and then tipping over Roberts' late drive.
Match report supplied by PA Media
