The couple filed for divorce on June 7 but it is believed that the marriage had been on the rocks for a while, reported the New York Post.
"Melanie and Antonio have had issues for a long time. They used to be so affectionate with each other, but more recently they've been drifting apart," a source said.
Griffith, 56, who got married to Banderas, 53 in 1996 apparently worked a lot on her marriage for the sake of their 17-year-old daughter Stella.
The 'Working Girl' star cited irreconcilable differences as the reason behind the couple's split. She is asking for child support and sole physical and joint legal custody of Stella, as well as spousal support.