Three veteran Washington Post newsmen have been given new assignments.

In promotions announced yesterday by Executive Editor Benjamin C. Bradlee:

*Milton Coleman, 39, who has been a national political reporter for the past 3 1/2 years, became assistant managing editor for metropolitan news, effective yesterday.

*Jim Hoagland, 46, assistant managing editor for foreign news, will take the new post of associate editor and chief foreign correspondent, based in Paris.

*Michael Getler, 50, moves up from foreign editor to succeed Hoagland, effective July 1.

Coleman, who succeeds Larry Kramer, now the executive editor of the San Francisco Examiner, came to The Post 10 years ago from the Minneapolis Star. His first assignment at The Post was as a reporter on the metropolitan staff, assigned to Montgomery County.

He subsequently covered the District Building, became assistant city editor in March 1980, and District editor two months later. He served as District editor until February 1983.

A native of Milwaukee, Coleman earned a bachelor's degree in music history and literature from the University of Wisconsin-Milwaukee and was a fellow in the Michele Clark summer program for minority journalists at Columbia University. He began his newspaper career with the Milwaukee Courier, a black-oriented weekly, and worked for several other black-oriented news organizations, including WHUR-FM in Washington, before going to Minneapolis.

Hoagland will be based in Paris and will produce in-depth stories and series on global trends and problems to supplement the reporting of The Post's 18 foreign bureaus. Beginning in September, he also will write a column that will appear on Page A2 each Friday.

Hoagland, a native of Rock Hill, S.C., and graduate of the University of South Carolina, has been at The Post since 1966. He won a Pulitzer Prize for international reporting in 1971 with a series of articles on apartheid in South Africa.

Getler joined The Post in 1970 as military affairs correspondent, an assignment that included coverage of the Pentagon, defense related activities in Congress and reporting trips to Europe and Vietnam.

In 1975 he was named the newspaper's Central European correspondent, based in Bonn, covering all of Eastern Europe as well as Germany and NATO.

He returned to Washington in 1980 to the newly created job of national security correspondent, covering defense, diplomacy and arms control. He went abroad again in 1984 as London correspondent, returning in April 1985 to become foreign editor.

A native of New York City, Getler is a graduate of City College of New York. He was a reporter and editor with American Aviation Publications for 10 years before coming to The Post.

In a fourth change, William Drozdiak, 36, returns from assignment in Bonn to fill Getler's post as foreign editor. Drozdiak, who came to The Post in 1982 from the Cairo bureau of Time magazine, also covered the Iran-Iraq war, Beirut and other Mideast stories from his post in West Germany.