Brazier consistently voted against bills furthering LGBT rights, including equaling the age of consent, civil partnerships and scrapping the controversial Section 28 act, which banned teachers from "promoting homosexuality" or "teaching ... the acceptability of homosexuality as a pretended family relationship". He opposed the legalisation of same-sex marriage, saying that it would "undermine a treasured institution and could have unforeseen consequences". Brazier was also quoted as saying, "We shouldn’t allow an institution of this importance to be re-defined simply to meet a rights agenda".