Yes, Debra Winger and Timothy Hutton are still married. They first met while filming the 1983 movie Terms of Endearment, in which they played husband and wife. They began dating shortly after that and were married in 1986. They have three children together: two sons and a daughter.
They have been through a lot together, including infidelity on both sides (they each had an affair with someone else during their marriage), but they have managed to stay together. In recent years, they have appeared in several movies together, including The Lovers (2017) and Call Me by Your Name (2017).