'The point I was making is that a good man is a good man, no matter who he prays to'
Madonna said she was being deliberately "ironic on stage" when she erroneously referred to President Barack Obama during a concert in US capital as a "black Muslim".
A video clip posted on YouTube by audience members at the Verizon Centre in downtown Washington captured the 54-year-old singer delivering a rousing, profanity-laced political speech about freedom during her show on Monday.
"Now, it's so amazing and incredible to think that we have an African-American in the White House … we have a black Muslim in the White House … it means there is hope in this country, and Obama is fighting for gay rights, so support the man," Madonna said.
Obama, campaigning to be re-elected on 6 November is widely known to be a practising Christian.
Responding to a media furore unleashed by the YouTube video, Madonna issued a statement on Tuesday through her spokeswoman saying her reference to Obama's religion was facetious.
"I was being ironic on stage. Yes, I know Obama is not a Muslim – though I know that plenty of people in this country think he is. And what if he were?
"The point I was making is that a good man is a good man, no matter who he prays to. I don't care what religion Obama is – nor should anyone else in America," she said.
Since Obama's first presidential run in 2008, fringe groups and some opponents have espoused rumours that he is secretly a Muslim, alongside other unfounded assertions that he was born outside the US.
Madonna has been outspoken in her support of the president, going so far as to rip off her shirt during recent concerts to reveal the word "Obama" inked across her lower back.
On the North American leg of a concert tour in support of her latest studio album, MDNA, the singer has been grabbing headlines with a recent series of onstage antics.
During one of her Paris concerts in July, Madonna landed in hot water with France's far-right Front National party after screening footage of its leader, Marine Le Pen, with a swastika superimposed on her face. The Front National has threatened to sue the star.
In August, Madonna spoke out at concerts in Russia in support of gay rights and the jailed members of the Russian punk rock band Pussy Riot.