NEW YORK — The New York Times Co. is planning to rename The International Herald Tribune, its 125-year-old newspaper based in Paris, and will unveil a new website designed for international ­audiences.

In the fall, the company said Monday, the newspaper will be rechristened The International New York Times, ­reflecting an intention to focus on the core New York Times publication and build up its international­ presence.

A spokeswoman would not provide details about how the changes would affect Herald Tribune employees.

In a statement, chief executive Mark Thompson said the company has explored its prospects with international audiences, and he noted there is ‘‘significant potential to grow the number of New York Times subscribers outside of the United States.’’

On Feb. 20, the Times Co. said it was exploring offers to sell The Boston Globe and its other New England properties.