Irons, 67, was speaking in an interview to promote his new film The Man Who Knew Infinity.
He plays eminent professor G.H. Hardy in maths biopic.
He said: "I go to my local church in Ireland, which is Catholic, but I'm not a Catholic. It's a wonderful centre of the community.
"I believe in Jesus' teachings, I believe in Buddha's teachings, I believe in a lot of Muhammad's teachings; I think they were all searching towards the centre of human nature.
"But the church has lost touch with modern life, and although I think it's great we have an organisation that puts the brakes upon this relentless change we live under, organised religion is not my bag. Organised anything is not my bag.
"I have an anarchic nature and I believe we should make our own rules," Irons confesses. "I have a phrase in my diary that says: 'To live outside the law, you must be an honourable man'."
Irons previously hit the headlines with his comments about gay marriage and abortion.
Recently on abortion he said: "I believe women should be allowed to make the decision, but I also think the church is right to say it's a sin".