Is staring at someone on the job considered sexual harassment?

According to the New Jersey Office of the Attorney General, sexual harassment includes unwelcome sexual advances, demand for sexual relations, or any other conduct (verbal or physical) that is sexual in nature. One specific type of sexual harassment is when an employee believes that he/she must tolerate sexual advances or engage in sexual relations in order to continue employment or avoid being demoted or reprimanded.

To answer your question, staring could be considered sexual harassment if it is used as a sexual advance. The harassment could also be hostile in nature, though not sexual, if the staring is done to bother or upset an employee. This is known as a hostile working environment sexual harassment, especially if it is done to an employee because of gender.