Police in Berkshire have admitted hare coursing remains a problem in the county.
BBC: Berkshire police admit hare coursing remains a problem'
But now the ban is permanent and makes it an offence to organise, participate or attend a hare coursing event.
Hare coursing is the pursuit of a hare by a pair of hunting dogs, often greyhounds, and is common in rural Northern Ireland.
Mr Wilson said the vote to ban hare coursing at the consideration stage of the Wildlife and Natural Environment Bill had been "historic".
"We've seen a decline in metal thefts, but hare coursing and trespassing on people's fields and crops is still a major problem, " he said.
The group said pro-hunt campaigners would demonstrate at every stage of the Bill - which outlaws stag hunting and hare coursing and restricts fox hunting.
Mr Gilbert admitted that hare coursing remained a big problem and urged anyone affected by it to report the crime to police "with as much detail as possible".
BBC: Berkshire police admit hare coursing remains a problem'
Before the debate, the DUP's Jim Wells questioned the necessity of discussing the amendment brought by Sinn Fein's Francie Molloy to allow two "regulated" hare coursing events to be maintained in Northern Ireland.
Hard-line opponents of hunting accept that such a formula, combined with a ban on hare coursing and stag hunting, may be acceptable to many Labour MPs who have so far voted consistently for an outright ban.
Many MLAs spoke against the staging of coursing events where muzzled greyhounds race after a hare.
The Irish hare may rest more easily after the Assembly voted in favour of a permanent ban on coursing.
But while the amendment introducing a permanent ban on coursing was carried, there was relief for beagle and harrier packs as a more stringent hare protection measure was dropped.
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