George Holmes Tate Jr., 44, an assistant vice president of Milton Abrams & Associates, mortage brokers, died of cancer Wednesday at the Veterans Administration Hospital.

Before joining the firm in 1977, Mr. Tate had run the Society for Urban Progress, a development and building company he founded in 1971. Among its projects were apartment buildings in Lagos, Nigeria.

Mr. Tate born in Little Rock, Ark., and graduate from Dunbar High School there. He served in the Air Force and then came to Washington about 1960. He was an assistant social worker at the D.C. Receiving Home for Children and also attended American University. He earned a bachelor's degree in business administration from Southeastern University in 1967.

He spent a year as a housing intern under a program sponsored by the Ford Foundation. In 1969, he joined the Boise-cascade construction company here and remained with it until starting the Society for Urban Progress.

In May, Mr. Tate received a community service award from the National Black Veterans Organization.

He was a trustee of the Foundation for Cooperative Housing.

Survivors include his wife, Harriet, and two sons, George H. III and Brian Clifton, all of the home in Silver Spring; his mother, Ethel M. Wright, of Little Rock; his father, George H. [Buddy] Tate Sr., and two sisters, Georgette Matthew and Josie Sanabia, of Massapequa, N.Y and two brothers, William, of Massapequa, and Carl Henry, of Riverside, Calif. CAPTION: Picture, GEORGE H. TATE