TMZ reports that Sheridan alleges Cherry struck her across the head and face after she complained about being fired.
The charges in the suit also include gender violence and wrongful termination. Sheridan, who played Edie Britt on the series, is suing for $20m (£13m).
She claims that "Cherry took her aside and forcefully hit her with his hand across her face and head" on the set on September 24, 2008.
Cherry later "begged forgiveness" from Sheridan after the incident, according to the suit.
Sheridan says that she reported the fracas to ABC, but the network failed to take action.
The lawsuit also states that Cherry said, "I hope Teri Hatcher gets hit by a car and dies," after Sheridan's co-star complained about him.