The Washington National Opera announced plans Friday to leave the Trump-Kennedy Center, one of several noteworthy departures since the Trump administration took charge of the institution.

The Washington National Opera has decided to end its arrangement with the Kennedy Center in the nation’s capital, though it says it is hoping for an “amicable transition.”

The opera company is seeking to sever its ties with the Kennedy Center after a tumultuous year in which both groups have faced cancellations by artists, empty seats and the retrenchment of donors prot...