The heavyweight boxer is hoping to fight for the constituency, currently held by Conservative David Morris.
He told the BBC it was a genuine ambition and he would stand as an Independent.
Mr Fury said there was too much focus on immigration and not enough on "our own brothers and sisters who are on the streets and abusing drugs and alcohol".
"I want to make a change for the better for the place I live," he said. "I believe that I will succeed because of the influence I have over the people from the town."
He said he had been thinking about entering politics over the past month or so.
The political ambition was separate to his dressing up as Batman last week for his heavyweight title fight against Wladimir Klitschko, he said.
Fury was due to take on the Ukrainian boxer, 39, for his WBA, IBF and WBO titles in Dusseldorf, Germany, on 24 October before the champion pulled out with an injury.
Fury said he now planned to meet David Morris and Lancashire County Council to discuss his political plans, and said: "I should be elected in five years' time."
Despite his roots in the travelling community, which is often said to be subject to abuse and discrimination, he said he believed there was too much focus on immigration.
"What about people who are born and bred here?" he said. "We need to build on the foundations we have steadily to make change."
Fury said he had no political experience, and no views on previous political scandals involving expenses.
"I feel that coming from a travelling background, I am used to politics and arguing," he said. "My opinions on travellers are different to refugees - we are not talking about people coming over from Romania - they are British people."
On the economy, he said it was "slightly better" than it had been over the last three years in terms of unemployment and people having more spending power, "and coming back to pubs and bars".
He said he did not want the UK to be part of the European Union, citing what he said were the financial problems of Spain, Greece and Italy.

Police were contacted at about 01:00 BST on Tuesday after the baby had been admitted to Royal Blackburn Hospital.
The infant, who had been at a house in Infirmary Street, Blackburn, is in "a very poorly condition", a Lancashire Constabulary spokesman said.
A man, 21, and a 17-year-old girl, both from Blackburn, were held on suspicion of wounding with intent.
They have been bailed until 6 July.
The boy has been transferred to the Manchester Children's Hospital.

Madeleine Moon, Bridgend's Labour MP, said more military exercises are needed to show Russia "we are ready and we are capable".
It follows the crash of Malaysia airliner MH17 in Ukraine and growing tensions between Russia and the west.
Ms Moon, who sits on the Commons defence committee, called for a halt in a decline on defence spending.
A total of 298 people were on board MH17, when it was reportedly hit by a missile over a rebel-held area in Donetsk region on Thursday.
Ukraine and the pro-Russian rebels have accused each other of shooting down the Boeing 777, which was flying from Amsterdam to Kuala Lumpur.
Western countries have criticised restrictions imposed by rebels at the crash site, and have asked Russia to pressurise them to allow more access.
Ms Moon said the "callous" behaviour of militia followed the annexation of Ukraine adding that Russian president Vladimir Putin had to realise that the "world is outraged".
She said: "I think we have to act as if we're entering a new Cold War.
"We've had Russian ships, we have had Russian submarines off our coast for the last few years.
"We've had Russian planes entering very close to our airspace for years, testing our defences.
"We've got no maritime patrol capability - that needs to be replaced."
Ms Moon, who is also part of the Nato Parliamentary Assembly, told BBC Radio Wales' Sunday Supplement Britain had ignored Russia's "flexing of its muscles".
She added: "We have to have more regular live exercises and snap exercises so that we are clear that we are sending a message to Russia that we are not sitting back - we are ready and we are capable - because that's the only message the Russians understand."
Boxer Tyson Fury has revealed that he has ambitions to be the next MP for Morecambe and Lunesdale.
[NEXT_CONCEPT]
Two people have been arrested after a three-month-old boy was taken to hospital with a bleed to the brain.
[NEXT_CONCEPT]
Britain has to "act as if we're entering a new Cold War" with Russia, an MP has claimed.