The Senate yesterday confirmed Constance J. Horner, President Reagan's choice to succeed Donald J. Devine as director of the Office of Personnel Management. The action came on a voice vote with no debate.

Horner has served the past four years as an associate director of the Office of Management and Budget.

As expected, Reagan yesterday nominated Robert B. Sims, a former naval officer and journalist who has been a deputy White House press secretary since 1983, as assistant secretary of defense for public affairs.

Sims would succeed Michael I. Burch as the chief Pentagon spokesman. Sims has been special assistant to the president and deputy press secretary for foreign affairs. In 1982 and 1983, he was senior director of public affairs for the National Security Council.

The president has also nominated Anthony G. Sousa to another four-year term on the Federal Energy Regulatory Commission. Sousa, a former vice president of the Hawaii Telephone Co. in Honolulu, first was appointed in September 1981 to fill a vacancy on the five-member panel.

Reagan also nominated Elizabeth Flores Burkhart, a member of the board of the National Credit Union Administration since 1982, to another term. Previously, Burkhart served at the Veterans Administration and in the Reagan-Bush campaign.

At the Health and Human Services Department, William Ryan, an executive with Johnson & Johnson, and Sheila Smythe, a Blue Cross-Blue Shield official, are among the new names being mentioned as successor for Carolyne K. Davis as head of the Health Care Financing Administration.