Troubled insurer American International Group Inc
The AIG board approved the choice Monday morning, the newspaper said on its website.
An AIG spokesman was not immediately available to comment.
Benmosche would succeed Edward Liddy as AIG chief executive. Liddy joined the company as chairman and CEO last September, within hours of the company getting billions of dollars in support from the U.S. government after nearly collapsing under losses on repackaged mortgages it had guaranteed.
In May, Liddy said he planned to step down once replacements were found to fill the CEO and chairman roles.
AIG shares were down 13 cents, or 1 percent, to $13.01 in late-morning trade on the New York Stock Exchange.
(Reporting by Lilla Zuill; editing by John Wallace)