JESSICA SIMPSON and her fiancé, former NFL player ERIC JOHNSON, got married Saturday at the San Ysidro Ranch in Santa Barbara, California on Saturday.


They released a statement saying, quote, "We are overwhelmed with complete happiness and love having made our eternal commitment.  To say 'I do' in front of family, friends and, most importantly, our children has been the happiest moment of our lives."


Jessica and Eric got engaged in 2010, but ended up having two kids before making it official. 


And the kids WERE a part of the ceremony.  Their 1-year-old son Ace was the ring bearer, and their 2-year-old daughter Maxwell was the flower girl.  She was accompanied down the aisle Jessica's sister ASHLEE'S 5-year-old son Bronx.


Obviously, Ashlee was in attendance, along with her boyfriend Evan Ross, who's the son of DIANA ROSS.


Other celebrities included Donald Faison from "Scrubs", who's married to Jessica's friend CaCee Cobb . . . Jessica Alba and her husband . . . and Topher Grace.


The wedding was preceded by a 4th of July barbecue on Friday.