WASHINGTON — Margaret Brennan, the senior foreign affairs correspondent for CBS News, will be the next moderator of “Face the Nation,” the network’s prestige Sunday morning public affairs show and one of the most influential venues in American politics.

Her new role, announced by CBS on Thursday, makes Ms. Brennan, 37, the only woman currently serving as a solo anchor of a major Sunday political affairs show. She succeeds John Dickerson, who left “Face the Nation” in January after less than three years to replace Charlie Rose on “CBS This Morning.”

Along with mainstays like NBC’s “Meet the Press” and ABC’s “This Week,” “Face the Nation” features interviews with prominent lawmakers and White House officials that often make news, and can forge Washington’s political agenda for the week ahead.

For decades, the hosts of these shows have primarily been men.

“Meet the Press,” which began in 1947, has had only one female moderator, Martha Rountree, its founding host. Lesley Stahl, now of “60 Minutes,” moderated “Face the Nation” from 1983 to 1991. Christiane Amanpour, now of CNN, moderated ABC’s “This Week” from 2010 to 2011.