The calls came in just after 1:30 p.m. on Monday afternoon.
The museum was evacuated while the package was assessed by authorities.
Sources tell Eyewitness News the package is a piece of luggage left outside the museum.
Police gave the all-clear just after 3:45 p.m. and said the suspicious package was safe.
The NYPD said Fifth Avenue between 81st and 84th streets was closed to traffic and pedestrians during the investigation.
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