Tennis star Novak Djokovic is in contract to buy two apartments at Manhattan condominium 565 Broome SoHo for an undisclosed sum.

In a statement, Serbia-born Mr. Djokovic said he is a fan of architect Renzo Piano, whose firm designed 565 Broome SoHo. PHOTO: AARON FAVILA/ASSOCIATED PRESS

Mr. Djokovic bought two separate two-bedroom units, each measuring over 2,000 square feet, on the upper floors of the under-construction project, said Stacy Spielman, director of sales at 565 Broome SoHo. She said the units aren’t adjacent to each other and so it doesn’t appear that Mr. Djokovic plans to combine them. She declined to specify how much the athlete paid, but said two-bedroom units on the upper floors start at $5.4 million.

When completed in late 2018, 565 Broome SoHo will consist of two 30-story glass towers with a total of 115 units, Ms. Spielman said. The project won’t have a tennis court, but it is expected to come with a saltwater swimming pool and a glass-enclosed conservatory. Sales started in late September and nearly a third of the units have sold, she said.

Earlier this year, Mr. Djokovic bought a unit at Eighty Seven Park in Miami Beach, another project by 565 Broome SoHo’s developer, Bizzi & Partners Development. Bizzi is developing 565 Broome with Aronov Development and Halpern Real Estate Ventures, and Eighty Seven Park with Terra Group.

In a statement, Serbia-born Mr. Djokovic said he is a fan of architect Renzo Piano, whose firm designed both 565 Broome SoHo and Eighty Seven Park in Miami Beach. “I love the design of these two buildings and their location is fantastic,” Mr. Djokovic said in the statement. “Both New York and Miami are on my travel list every year and it will be exciting to have a place to come back to.”

Eliminated this week at the Australian Open, Mr. Djokovic has won 12 Grand Slam singles titles. In 2016, he became the first man since 1969 to win all four Grand Slam titles in a row.

Write to Candace Taylor at Candace.Taylor@wsj.com