A handful of top Reagan administration officials, including Defense Secretary Caspar W. Weinberger, have found a way to mix business with pleasure this weekend when they travel to California for the annual sylvan gathering of the all-male Bohemian Club, Pentagon officials said yesterday.

Weinberger, two other top Pentagon officials, Navy Secretary John F. Lehman Jr. and research chief Richard D. DeLauer, and White House national security affairs adviser William P. Clark will pay what Pentagon spokesmen called a morale-boosting visit to the Naval Supply Center in Oakland before repairing to the Bohemian Grove north of San Francisco. Because of the business nature of the trip to the supply center, they will travel aboard a government jet.

The Bohemian Club, which has caused controversy in the past because it does not admit or hire women, boasts some of the nation's top industrial and political leaders among its members. In addition to Weinberger, they include President Reagan, Vice President Bush and Attorney General William French Smith, who was criticized by Democratic senators during his confirmation hearings for not resigning from the club.

Each year, more than 2,000 men flock to the club's 2,700-acre grove along the Russian River for a few days of frolic and relaxation away from the cares, and reporters, of the workaday world.

A spokesman confirmed Clark is planning to make the trip. graphics/photo: CASPAR W. WEINBERGER ...will travel on a government jet