If one spouse curses the other, does this mean that they are divorced or forbidden to one another?

Praise be to Allah.

Neither of them becomes forbidden to the other as the result of cursing, and divorce does not take place as a result, but his cursing her or her cursing him is a major sin, and they have to repent and ask Allaah for forgiveness for what they have done, and they have to ask one another for forgiveness for cursing one another. And Allaah is the Source of strength. May Allaah send blessings and peace upon His Prophet Muhammad and his family and companions. End quote. 

Standing Committee for Academic Research and Issuing Fatwas.