Conn. Gen. Stat. § 46b-28: (Formerly Sec. 46-6). Validity of marriages celebrated in a foreign country.

All marriages in which one or both parties are citizens of this state, celebrated in a foreign country, shall be valid, provided: (1) Each party would have legal capacity to contract such marriage in this state and the marriage is celebrated in conformity with the law of that country; or (2) the marriage is celebrated, in the presence of the ambassador or minister to that country from the United States or in the presence of a consular officer of the United States accredited to such country, at a place within his consular jurisdiction, by any ordained or licensed clergyman engaged in the work of the ministry in any state of the United States or in any foreign country.