Former Robertson High School teacher Jay Quintana was arrested shortly before noon Tuesday.
Quintana is accused of having sex with a student, Police Chief Gary Gold said. He is charged with 14 counts of criminal sexual penetration and one count of criminal sexual contact, Gold said.
Quintana is being held in lieu of a $100,000 bond, the chief said.
The allegations against Quintana emerged in January. The district referred the matter to the Las Vegas Police Department.
Quintana had been a teacher at Robertson since the 1990s. He was also a golf coach.
Santa Fe attorney Merit Bennett, who is representing the alleged victim, filed a notice with the district Jan. 20, warning that his client may sue.
Named as possible defendants in the case are Quintana himself; Rick Romero, the City Schools superintendent; Athletic Director Mike Yara; and Quintana's wife, LeeEtte Quintana, the associate superintendent.
According to the notice, Quintana sexually abused the student from 2002 to 2007, throughout her school years and thereafter, on school property. The abuse started when she was around 14, the notice states.
Quintana is alleged to have had sexual intercourse while the girl was a minor. She is now 20.
The notice claims that the other possible defendants failed to adequately supervise Quintana and negligently hired, trained and supervisedhim.
According to the notice, the girl suffered severe and extreme emotional distress and psychological harm.
A couple of months ago, Quintana's wife, LeeEtte Quintana, was reportedly circulating a petition in support of her husband to come back to the district. Some said she was asking district employees to sign.
She serves as the district's second in command.