A patient at Mount Sinai is being tested for Ebola after arriving at the hospital with a high fever and stomach problems.
The patient was visiting a West African country where Ebola cases have been reported in Nigeria, Guinea, Liberia and Sierra Leone.
According to the hospital, the patient is being kept in isolation to prevent the possible spread of the disease.
"All necessary steps are being taken to ensure the safety of all patients, visitors and staff," Mt. Sinai said in a statement. "We will continue to work closely with federal, state and city health officials to address and monitor this case, keep the community informed and provide the best quality care to all of our patients."
Dr. Tom Frieden, CDC Director, told reporters that Mount Sinai is equipped to isolate patients.
"Any advanced hospital in the U.S., any hospital with an intensive care unit has the capacity to isolate patients," Frieden said.
He also said he doesn't believe that there will be a significant spread of the disease in the US.
"We are confident that we will not have a significant spread of Ebola, even if we were to have a patient with Ebola here," Frieden said. "We work actively to educate American health care workers on how to isolate patients and how to protect themselves against infection."
One American, Dr. Kent Brantly, was already flown to Emory University Hospital in Atlanta from Liberia. A second American Nancy Writebol will join Brantly on Tuesday.
Hospital officials said Brantly's condition has improved since arrival in the United States.
Frieden said hospitals in Africa don't have the resources to control infection.
"The plain fact is we can stop it," he said. "We can stop it from spreading in hospitals, and we can stop it in Africa where it is really the source of the epidemic and where we're surging our response so that we can control it there."
The World Health Organization has named this outbreak of Ebola as the largest in recorded history with over 800 deaths.
Ebola is spread through direct contact with body fluids or through exposure to objects that have been contaminated with bodily fluids.
Ebola symptoms can take as long as three weeks to show up, and the disease isn't considered contagious until the symptoms manifest itself.