Strathclyde Life Action was refused affiliation to Strathclyde University's students' association which means it will not be allowed to book rooms or receive financial support like other groups.
The university says this is because of its pro-choice policy that "does not allow for such groups on campus."
President of student's association Raj Jayaraj told the Herald: "If a society's beliefs contradicts association policy then it is not allowed to affiliate.
"If a society representing the British National Party came on campus then we would not allow them to affiliate."
That was a "disgusting comparison," said pro-life student and Law undergraduate Jamie McGowan on Premier's News Hour.
He said the group did not actively engage in campaigning on the issue and was instead proposing to hold voluntary lectures and debates on life and ethics issues: "People would voluntarily go into that issue and listen and what's quite sad is that they [the association] wouldn't listen to that really."
He added: "Freedom of speech is not something that is a hindrance to democracy, it's something which is necessary to challenge ideas and speak about them.
"It's really sad that the union would just silence things because they think that the prochoice argument is an absolute, it's not, nothing in democracy is, we need to challenge this to provide proper freedom of expression."
Strathclyde University did not respond to a request for a comment.
McGowan stressed that they were not interested in getting money from the association and only wanted to be able to book rooms and lecture theatres to hold discussions and meetings.
The work of the pro-life group will continue outside of the campus, he added.
Jamie McGowan speaking to Premier's Antony Bushfield: