The resolution urging courts to support allowing same-sex couples to marry was among those passed by the group.
In 2009 the conference endorsed the freedom of same-sex couples to marry and reaffirmed that in the current resolution.
The group noted that 19 states and the District of Columbia allow same-sex couples to marry.
The conference also condemned any legislation that authorizes discrimination in employment or refusal of service or facilities to gays and lesbians.
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