Almost 40 MPs have signed up to a House of Commons motion calling for the banning of snares.
The motion, tabled by Lewes MP Norman Baker, follows a report from the National Federation of Badger Groups, which reveals badgers and other animals are being severely injured and killed by snares.
A similar motion tabled by Mr Baker last parliamentary session attracted 142 signatures.
Mr Baker said: "The indiscriminate maiming and killing of animals with snares is totally unacceptable.
"The law on snares is cumbersome and ineffective. Legislation is urgently needed to bring such devices under strict control, with a view to banning snaring altogether."
Mr Baker said there was alarm at the use of self-locking snares, which are illegal.
He added the existing legislation was difficult to enforce and had failed adequately to protect wildlife from unnecessary suffering and death.
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