Health and Human Services Secretary Alex Azar has been admitted to a hospital for diverticulitis for the second time in recent days, but he remains in contact with his department’s leadership and the White House, according to a statement released Wednesday.

Mr. Azar was first hospitalized Sunday night following a “minor infection” for observation and intravenous antibiotics “out of an abundance of caution,” HHS said Sunday. He was discharged Monday from St. Vincent hospital in Indianapolis.

“I’m...