Bush, 23, and Murray, 24, were married in April during a seaside ceremony in Santa Monica. The two met while filming the WB's television show. She plays feisty cheerleader Brooke Davis and Murray plays Lucas Scott, a brooding intellectual struggling to find peace.
"This is a difficult and unfortunate situation," Bush said in a statement. "I am glad this is being resolved sooner rather than later."
Murray issued a statement of his own, saying: "I am saddened to announce that Sophia and I are separating. This is a very difficult time for me."