The executive chairman of the Countryside Alliance, Sir Barney White-Spunner, said he believed the ban on hunting would eventually be lifted, although he accepted it was not an immediate priority for the government.
Mr White-Spunner told the BBC Radio 4 Today programme: "We know that actually if you are going to go for some form of repeal then it would probably take another huge amount of time at a time when the Government and parliament has got other priorities.
"I think people are absolutely sensible and mature about that but I am absolutely confident the Act will be repealed. In the meantime, the country people trust the Prime Minister will deliver what he can."
More top news
'Vote Leave' - a cross-party campaign calling for Britain to leave the European Union in the forthcoming referendum - has been launched.
Sir Bruce Forsyth had to be rushed to hospital after a fall at his home.
Figures show seal shooting is on the decline but 51 licences were granted this year permitting the cull of more than 850 marine mammals.