If an ex-spouse remarries, his or her entitlement to spousal support typically ends. There is one primary exception to this rule. Support payments must continue if the marital settlement agreement clearly states that remarriage does not terminate alimony obligations. If your ex-spouse receives support and moves in (cohabitates) with a significant other, you can petition the court to reduce or terminate his or her spousal support. When an ex-spouse decides to cohabitate, there is rebuttable presumption that his or her boyfriend or girlfriend is providing financial support. However, if there is evidence that the new couple is not sharing expenses and income, support payments may continue (since there has not been a significant change in the spouse’s financial circumstances).