Loch Ken has fallen victim to the species, which eat young fish and destroys the natural habitat of the local waterlife.
Environment Minister Mike Russell made the call this week after it was discovered the fish are causing mayhem for our waters.
Mr Russell branded it one of the most problematic, invasive species in the country alongside the grey squirrel, Japanese knotweed and American mink.
He said: "As well as competing with valuable native fish such as trout and salmon, the holes the crayfish bore into river banks for their nests can leave the land weak and lead to a greater risk of flooding.
"Any angler who catches one is urged to kill it on sight, not to throw it back into the water or take it away alive and contact the Scottish Government, Fisheries Research Services, Scottish Natural Heritage or the Scottish Environment Protection Agency."
The signal crayfish was introduced to waters in England and Wales through fish farms about 20 years ago.
In Scotland, they were first recorded in the catchment of the River Dee in Kirkcudbrightshire in 1995.
Since then, specimens have been found in Scottish ponds, rivers and lochs as far north as Inverness-shire.