Shreveport police Sgt. Willie Lewis said Brolin, Wright and five others were arrested just after 2 a.m. at a club called the Stray Cat bar.
A call to deal with a rowdy patron drew interference from other patrons, Lewis said.
The Times of Shreveport reported that Brolin was booked and posted $334 cash bond to be released. Police could not say Saturday night whether he or the others had been released. The paper said they are part of the crew on an Oliver Stone film, "W," about President George W. Bush.
A call to Brolin's publicist was not immediately returned Saturday night.
"W" began filming in May in Shreveport. Brolin plays President Bush and Wright plays former Secretary of State Colin Powell.
Brolin appeared in three films last year, "In the Valley of Elah," "American Gangster" and "No Country for Old Men," which won the best-picture Oscar.
"W" is Stone's third presidential film, following "Nixon" and "JFK." He also directed the Vietnam sagas "Born on the Fourth of July" and "Platoon," which won four Oscars including best picture and director.
The Academy Award-winning director only began shopping his script for financing in January, but has quickly captured the interest of investors and Hollywood.
Stone has said the film, which will focus on the life and presidency of Bush, won't be an anti-Bush polemic, but, as he told Daily Variety, "a fair, true portrait of the man. How did Bush go from being an alcoholic bum to the most powerful figure in the world?"