Halifax remain deep in relegation trouble after going down to fellow strugglers Kidderminster.
A goal from the impressive Ben Whitfield was enough to secure the points and delay Harriers’ seemingly inevitable drop into the Vanarama Conference North.
But the visitors also had keeper Sam Johnson to thank for keeping them in the game with the former Port Vale youngster saving a second half penalty.
The Shaymen started well and after just five minutes James Bolton was left unmarked at a corner but he could only guide his header wide of the target.
They continued to press and a Jake Hibbs shot was deflected wide for a corner. From the flag kick Hamza Bencherif looped a header goalwards but it struck the crossbar before being hoofed clear.
Seven minutes later and after a string of corners, Hibbs curled a free-kick around the wall and Harriers keeper Dean Snedker did well to keep it out.
With Bencherif excellent at the heart of the Halifax defence, chances for the home side were few and far between but they did cause a scare midway through the half when a break upfield saw Gurjit Singh play the ball wide to livewire striker Whitfield but the youngster fired over the target from 25 yards.
Visiting keeper Johnson had to punch clear following a header from Keith Lowe five minutes later but that was as close as the Worcestershire side got before the interval.
Skipper Nicky Wroe and Hibbs picked up bookings during the half and Wroe also had a shot deflected for a corner late in the half – The Shaymen’s sixth of the first period.
Bencherif was again called on inside the opening minute of the second half to clear a Singh effort from in front of goal but it was the home side who broke the deadlock two minutes later. A brilliant 50-yard pass from Lewis Kinsella picked out Whitfield on the left hand side of the area and his first touch took him past Bolton before he drilled his shot powerfully between Johnson and his near post.
It should have been 2-0 midway through the second half when Harriers were awarded a penalty following Bencherif’s foul on substitute Dan Sweeney but Elton Ngwatala tried to place his kick low to the right and Johnson kept it out, gathering the ball at the second attempt.
Manager Jim Harvey sent on substitutes Connor Hughes, Shaq McDonald and Josh MacDonald in the space of four minutes but it was Harriers who went closest to adding the scoreline in the closing minutes when Omari Patrick raced clear of the defence only to push his shot just the wrong side of the post.