U.S. Mail & Money Orders You can pay your Eversource bill by sending a check or money order payable to Eversource to one of the addresses below. Connecticut Electric Bill: Eversource P.O. Box 56002 Boston MA 02205-6002 Gas Bill: Eversource P.O. Box 56004 Boston MA 02205-6004 Eastern Massachusetts Eversource P.O. Box 56007 Boston, MA 02205-6007 Western Massachusetts Eversource P.O. Box 56005 Boston, MA 02205-6005 New Hampshire Eversource P.O. Box 56003 Boston, MA 02205-6003