The deal was signed on June 6, Fosun said in a statement, without giving the size of the stake or the price paid.
Studio 8 was founded by Jeff Robinov, a Warner Bros executive for 17 years until he left after reportedly losing an internal competition to become its chief executive.
Privately-owned Fosun is a diversified conglomerate with interests ranging from pharmaceuticals to mining.
Cooperation would include bringing Hollywood-style film-making to China and introducing "Chinese elements" into co-productions with Studio 8, the statement said.
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In another Chinese investment in the movie industry, property group Wanda bought US cinema chain AMC Entertainment for USD 2.6 billion in 2012. Wanda chairman Wang Jianlin, China's richest man in 2013, later hosted Hollywood stars to unveil plans to build a film studio in eastern China.
China was the world's second largest box office worth USD 3.6 billion last year, behind only North America, according to the Motion Picture Association of America.
Authorities limit foreign films to a quota of just 34 a year. While co-productions can escape the limit, they are still subject to censorship that excises content deemed politically sensitive or obscene.
"Our partnership will combine the resources of China and Hollywood to build a global platform not only focusing on movie and entertainment investment, but also aiming to integrate our resources around the world," Fosun chairman Guo Guangchang -- who ranked 31st on Forbes' China rich list last year -- said in the statement.
But investors were unimpressed by the deal. Fosun's Hong Kong-listed shares were down 0.58 percent to USD 1.33 this afternoon.
Huayi had originally pledged to pay as much as USD 150 million, which would have made it the largest investment to date by a Chinese company in US film production, the newspaper said.