Rumours that the London-based couple planned to split have been circulating for months, fuelled most recently by reports that she had hired a lawyer to divorce film maker Ritchie.
"My husband and I are not planning on getting a divorce," the singer told People.
"I brought my kids to a Yankee game. I am not romantically involved in any way with Alex Rodriguez. I have nothing to do with the state of his marriage or what spiritual path he may choose to study," she said.
People magazine reported today Rodriguez's wife, Cynthia, had left the Yankee baseball star over the alleged affair with Madonna, citing sources close to the situation.
The speculation about Madonna's marriage reached fever pitch in the last two weeks in London, where the Daily Mirror newspaper dedicated two front pages to the plight of the couple's relationship.
Madonna brushed off the rumours as media fabrication.
"I have learned over the years not to take accusations and the many false reports about me very seriously," she told People.
