The Hollywood couple looked happy and relaxed as they shopped in Brentwood, Los Angeles with Goldie sporting a diamond band on her left hand, reported TMZ.
Dressed down in black leggings and a zip-up top, Hawn, 70, even looked around a florist's with Russell.
Hawn and Russell, 64, first met on the set of "The One and Only, Genuine, Original Family Band" in 1968, but didn't start dating until 1983.
They have a son together, former hockey player Wyatt Russell.