Her request comes after the Environmental Protection Agency dispatched a team of inspectors to the urban oil field that neighbors claim is making them sick.
AllenCo, Energy Inc., operates the oil wells located on the 1800 block of West 23rd Street in South Los Angeles.
Boxer met with people living near the University Park neighborhood in South Los Angeles Friday.
They say the odor from the oil field causes nosebleeds, headaches, dizziness and respiratory problems. Others claim the fumes are so sickening that they can't open their windows or take walks.
"Today, I call on Allen Company to suspend its operations immediately at its oil and gas pumping facility, suspend their operations now," said Boxer, a Democrat who chairs the Senate Environment and Public Works Committee. "This terrible situation simply cannot go on."
The state received 340 complaints about powerful fumes from the facility since 2010, conducted five dozen visits and issued 16 notices of violations against Allenco, Energy Inc., according to the EPA.
Emails and phone messages left with Allenco by Eyewitness News were not immediately returned.