Rob O’Toole got the all important goal in the first half with his fourth goal of the season.
There were only 5 minutes on the clock when home goalkeeper Alieu Secka was forced into action making a fine low save from Kieron Pamment’s free kick.
The deadlock was broken after 20 minutes as a corner was sent in and O’Toole powerfully headed into the back of the net.
Lancing almost responded immediately as George Taggart’s corner was claimed to have crossed the line but it hadn’t and then Harry Heath smashed the underside of the bar as the Lancers tried to find a reply.
Lancing enjoyed a spell of possession but Jack Taylor and Nic D’Arienzo were both superb in the centre of Hill’s defence and the Hillians always looked dangerous counter attacking.
Taylor Seymour made a couple of good saves before the crossbar denied the Hillians on the stroke of half time as Pamment beat his man, cut in and smashed an effort against the woodwork as the Hillians saw out the half.
The second half started with the visitors having a couple of half chances. Sub Dan Perry saw an effort saved by Secka on 68 minutes and as the game drew to a close Lancing pressed for an equaliser with a goalmouth scramble not crossing the line and an effort headed over from a corner but it was Cox’s Hillians side who took all the points.