Wilton and Axminster weave carpets are woven carpets. On Axminster loom, individual tufts are cut to the correct length then placed within the backing and on a Wilton loom weave it is a continuous loop, which is then cut to the correct pile height.
Wilton carpets are normally plain or have a small number of colours.
The Axminster weave carpets are far more versatile this can cope with multiple colours and patterns.