Madonna and Guy Ritchie are not headed for splitsville, according to the singer’s rep.

“I am delighted to confirm that Mr. and Mrs. Guy Ritchie remain happily married,” Liz Rosenberg said in a statement Monday, countering rampant speculation about trouble in the couple’s marriage.

Earlier Monday, a British news service published a story quoting an unnamed source as saying “Madonna and Guy Ritchie are over.” Multiple reports also speculated that the couple, who have been working on separate projects, were ...