Only a month after he forced the resignation of Peace Corps Director Carolyn R. Payton, Action Director Sam Brown has demanded and received the resignation of the corp's regional director for Africa, Dr., William E. Gaymon.

Gaymon was a Payton Appointee. He said yesterday that he was forced to resign because he no longer enjoys Brown's trust.

"I was told by representatives of the Action director that my job has a high level of confidentiality, and that one must have the confidence and trust of the Action director in order to remain.

"I was told that I had the confidence and trust of Dr. Payton, but that I no longer enjoy the confidence and trust of Director Brown," Gaymon said.

Action is the umbrella agency for the federal government's domestic and overseas volunteer organizations.

Gaymon said Brown never spoke to him directly about his resignation, and that the Action director never complained about the quality of his work. "I imagine that it was just my association with Dr. Payton that disturbed him." Gaymon said.

Brown could not be reached for comment yesterday. But an Action spokeswoman confirmed Gaymon's statement that Brown no longer had confidence in him. "We offered to help him find another job," she said.

The Gaymon resignation triggered several calls to The Washington Post from disgruntled Action and Peace Corps employes.

Some callers-all of whom requested anonymity on grounds that they would be fired if their names were evealed-accused Brown of racism. Both Payton and Gaymon are black. So is Loretta Carter-Miller, the former Peace Corps Jamaica director who quit her post last year after a dispute with Brown.

However, Payton, Gaymon and Carter-Miller have not publicly charged Brown with racism.

In his letter of resignation, sent to Brown Tuesday, Gaymon said:

"It is with considerable reluctance that I submit this letter of resignation as regional director for Africa, to be effective at the close of business Jan. 27, 1979.

"After several lengthy discussions with your representatives. . . I have come to the conclusion that, given the prevailing institutional environment within the Action agency, it serves our mutual interests for me to leave."

Gaymon said in the letter that his "further regret is that, to date, I have not been given the opportunity to discuss. . . important matters" with Brown directly.

Gaymon has directed the Peace Corp's African operation for the past 13 months. During that time, he said in the letter, "we have improved the Peace Corps' ability to provide services to [27 African] recipient populations. . . .We have materially increased the quality and the diversity of our staff overseas. . . [and we have made] significant advances in shifting program emphasis from traditional education to programs which impact more directly on the urban poor."

Apparently alluding to the Payton resignation, Gaymon wrote: "As disappointed as I was over the momentous personnel changes of the last month, it was my considered judgement that I could best serve the needs of the Peace Corps by providing continuity and stability to our programs.

"It shall always remain a matter of deep personal regret that circumstances did not permit me to guide the program in Africa through further stages of evolution."

Gaymon has served in various Peace Corps capacities, including director of the corps' operations in Niger and Liberia, since 1965.