Legendary actor and director Clint Eastwood's family-- wife Dina, and daughters Morgan and Francesca-- are said to be shooting a reality show for the E! network, according to TMZ.

Dina Eastwood-- who is of African-American, Japanese, Irish, English, and German descent-- married Clint in 1996.  They share a child in Morgan; Francesca is Clint's child from a previous relationship.

Sources connected to the production tell TMZ ... the show will explore what it's like to live in a family of "Hollywood royalty."  It will focus on the relationship between Clint's wife Dina Eastwood, their daughter Morgan and Clint's 18-year-old daughter Francesca ... an aspiring actress.

The show is being produced by reality powerhouse Bunim/Murray -- the same people who produce all of the Kardashian reality shows ... along with "The Real World" and "Bad Girls Club."

We’re told 81-year-old Clint has agreed to make a couple of cameos -- but will not be a main character on the show. [TMZ]