Will Smith and Jada Pinkett Smith: 'We Are Still Together'

Will Smith, Jada Pinkett Smith Not Splitting
Jada Pinkett Smith and Will Smith
Mark Von Holden/WireImage

updated 08/23/2011 AT 03:50 PM EDT

originally published 08/23/2011 AT 05:45 PM EDT

Will Smith and Jada Pinkett Smith are still happily married.

After a day of buzz following a tabloid report that they have separated after 13 years of marriage, the couple have put a stop to the rumors.

"Although we are reluctant to respond to these types of press reports, the rumors circulating about our relationship are completely false," the couple said in a joint statement Tuesday.

"We are still together, and our marriage is intact."

While a media storm brewed around them Tuesday morning, the couple ran errands, stopping at a Michaels craft store to pick up canvases and paints for Jada.

"They were laughing and being cutesy – they seemed to be getting along just fine," an onlooker tells PEOPLE. "It sounds cliché, but they were just like ordinary people. They seemed really nice."

A second source adds, "They seemed happy to me."

Earlier, Jada's rep refused to comment on the split rumors. But Will's son Trey took to Twitter on the matter.

"Did #WillandJada split? No they did NOT split! False information ... its not true RETWEET!!!" Trey Tweeted. "Everyone can think what they want ... even if its not true."

Reporting by PATRICK GOMEZ
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