Theresa May said although she often discussed current affairs with her parents, her dad, Rev Hubert Brasier, was reluctant to reveal his views.
Speaking on BBC One's Andrew Marr programme she said: "He took a very simple view, he was the clergyman for the whole of his parish, he was the local vicar and it wasn't right for him to set out what his politics were because he should be appealing and working with everybody in his parish."
She explained that when she entered politics her father was keen to ensure her Conservative membership did not alienate his congregation: "There was a limit, when I got an interest in politics, I was limited as to what I was able to do publically, precisely because he wanted to ensure that nobody felt that he was somebody they couldn't approach because of his politics".
Mrs May's previously said that her Christian faith is "part of me... part of who I am". She also chose the hymn When I survey the wondrous cross while appearing on BBC's Desert Island discs.
Both the PM's parents died when she was in her early 20s and within a short time of each other.
Asked by Marr what she had learnt from them she replied: "I hope that what I've continued to do throughout my political career is to do what they wanted me to do, always try to do my best and to give back.
"What I learnt from them was a very strong belief in public service and always understand what you need to do for other people. It's not just about what you yourself think, actually, it's getting out there, it's hearing from people, it's listening to their voice and then delivering for them."