The 1688 Professional Lobster Fishermen's Association made the pitch to about 70 people gathered at a Yarmouth wharf today.
Spokesman James Mood told fishermen they need to haul up gear and stop fishing, saying he will use the time to negotiate a better price from dealers.
While many fishermen are hauling in big catches, they say the price of $3 a pound is making it difficult to break even.
Several fishermen's wives, who support the call for a shut down of the fishery, were on the wharf and say there are too many lobsters and nowhere to put them.
Some lobster buyers asked the Fisheries Department for a 72-hour closure to stem the huge flow of lobster being landed in the area, but the request was denied.