yes, both gabapentin and pregabalin work as anticonvulsants.
The pregabalin is more potent and a newer product.
Other anticonvulsants do work on neuropathic pain
Carbamazepine
oxcarbazepine
lamactil
vimpat (rather new for neuropathic pain
Dilantin (however this has been found to actually cause PN)

Some doctors use benzodiazepines which have mild anticonvulsant actions in some people,
for neuropathic pain. But in the long run these tend to cause more pain overall, and
so this treatment is falling into less use. These drugs are also habit forming and hard
to discontinue.