'lead a project' is correct and usable in written English.
You can use it in a sentence when you're talking about someone taking the lead role in planning and overseeing a project. For example, "Sue was asked to lead a project to develop a new mobile app."
In 1996, I helped lead a project to organize copyright data so we could respond quickly and efficiently to permission requests.
Pen Green will also lead a project with 16 other centres in England to set up a network of early-years teaching centres.
"Google hadn't considered an Eagle Scout to lead a project like this," he said recently from his office in Boulder, Colo.
When Lord Richard Best was head of the Joseph Rowntree Foundation he appointed White to lead a project, saying she was smart and intensely aware of issues around social justice.
"The fact that you are an excellent programmer or salesman, or can lead a project in your own area and culture, doesn't mean you can be a great leader outside of your technical or cultural expertise," he said.
Until now Bombardier has specialised in 50-100-seater regional and business jets.Bombardier's boss, Paul Tellier, has hired a Boeing executive who worked on the 737, the world's most successful plane, to lead a project to develop a new Bombardier model carrying up to 130 passengers, competing head-on with 737s and Airbus A320s.
His fellow cleric, Mr. Tataï, has led a project to build a grand mosque in Toulouse.
Jemma Kerns, of UCL, led a project comparing them to fresh bone from cadavers.
He also led a project on sharing teaching and research between universities through the new technologies.
Mark Follman, a Mother Jones reporter who has led a project on mass shootings, has examined a different approach: threat assessment.
He led a project to rebuild Jenin camp, large parts of which were destroyed by the Israeli army in April.
