Kenny G and his wife, Lyndie Benson-Gorelick, are working out their marital issues in private ... TMZ has learned.

We're told the case will be handled by a private judge, because both Kenny and his wife want to avoid the drama of a public break-up.

Both Kenny G and his wife filed for legal separation earlier this month. In fact, they each filed their legal docs the same day, leading us to believe this was a coordinated effort by Kenny's lawyer, Laura Wasser, and Lyndie's attorney, Gary Fishbein -- and that generally means the parties are getting along.

Kenny G's wife has filed for legal separation in their 20 year marriage ... TMZ has learned.

Lyndie Benson-Gorelick filed papers in L.A. County Superior Court -- citing "irreconcilable differences."

The couple has 2 sons.

There's a lot of money on the line.  There's a report Kenny is worth around $50 million.

There's one big sign the case is eventually headed to divorce court ... both Lyndie and Kenny have lawyered up with high-powered legal guns. Lyndie has Gary Fishbein, who has repped numerous celebs including Gabriel Aubry, Nikki Sixx, and Kenny has Laura Wasser, who has repped Britney Spears, Angelina Jolie and Kim Kardashian, to name a few.