LISBON — David Haggerty was re-elected as president of the International Tennis Federation on Friday.

Haggerty, an American and the former chairman of the United States Tennis Association, was up against three other candidates — David Miley, Anil Khanna and Ivo Kaderka — and won 60.5 percent of the 428 votes cast, ensuring there was no need for a second round of voting.

Among the tasks facing Haggerty in his second term as president, which runs until 2023, is reform of the Fed Cup, the top women’s team competition.

In his first term, Haggerty oversaw drastic changes to the ailing Davis Cup, the I.T.F.’s men’s team competition. The federation agreed on a 25-year deal for the men’s team competition with the Kosmos agency whose investors include the Barcelona soccer player Gerard Pique.