Only seven states have laws that ban discrimination in jobs or housing on the basis of sexual orientation.
He voted for the bill to ban discrimination against homosexual members of the Metro government.
Having come into force on 18 August 2006, the law bans discrimination in employment and certain services.
Connecticut is one of only seven states that ban discrimination over sexual orientation.
The fraternity refused to agree to the policy, which banned religious discrimination.
Clinton had already signed an executive order back in February, banning such discrimination for federal employees.
Earlier this year, for the second time, the Assembly passed a bill that would ban discrimination on the basis of sexual orientation.
New Hope has a local law that bans discrimination based on sexual orientation.
