Neil deGrasse Tyson, the astrophysicist who leads the Hayden Planetarium at the American Museum of Natural History, will keep his job, the institution said on Thursday. The museum has closed an investigation into sexual misconduct accusations against him.

“The museum’s investigation into allegations concerning Neil deGrasse Tyson is complete,” a museum spokeswoman said in a brief statement. “Based on the results of the investigation, Dr. Tyson remains an employee and director of the Hayden Planetarium. Because this is a confidential personnel matter, there will be no further statements by the museum.”

Dr. Tyson was accused of behaving inappropriately with two women in an article published in November on the website Patheos.

In one instance, Katelyn N. Allers, an associate professor of physics and astronomy at Bucknell University in Pennsylvania, said she met Dr. Tyson in 2009 at a party after a gathering of the American Astronomical Society. He was examining her tattoo of the solar system, which stretches along her arm to her collarbone, and she said he followed the tattoo with his hand, putting it into her dress. He said he was looking for Pluto, she said.