
Leek opened the scoring in the 17th minute. Neat build up play involving Danny Smith and Tim Grice was finished off by James Curley.
Ben Chapman made a superb near post save to deny a Josh Ruff header and then dashed out to palm aside a Sam Belcher shot.
Just short of the hour the visitors doubled their lead. Sam Grimshaw slid a pass through to Jordan Johnson who fired past Curtis Pond.
Substitute Pierce Kiembi forced Chapman into a save within seconds of his introduction with a header from 8 yards.
Chasetown had a golden opportunity to reduce the deficit after Mike Williams was pushed to the floor by a Leek defender. James Dance skied the spot kick above Chapmanās crossbar.
Tim Grice punished Chasetown with an immediate goal to increase the visitors lead with a chipped effort.
Chapman made another great save to deny another Kiembi header after initially punching Jack Langston's free kick away.