First Shearith Israel Graveyard/Chatham Square Cemetery
55-57 St. James Place
New York, NY 10038
(212) 873-0300
https://shearithisrael.org/content/chatham-square-cemetery
Open: 24 Hours
Fee: Free
My review on TripAdvisor:

The entrance to the Cemetery
There are times that I walk around Manhattan and things just pop out at you. Tucked inside small pockets of the City are small community gardens, detailed statues, street art and sometimes a small cemetery. I had passed the First Shearith Israel Graveyard or also known as the Chatham Square Cemetery many times when visiting Chinatown since I was a kid. This tiny elevated pocket square of land is located next to a building and locked behind a gate just off St. James Place right at the end of Mott Street strip of Chinatown.

You really have to look for this at the side of 55-57 St. James Place
This is the oldest Jewish Cemetery in Manhattan that was in use from 1683 to 1833. The site of the cemetery was originally on a hill overlooking the East River in an open area at the northern periphery of the British-Dutch colonial settlement. The plot was purchased in 1682 by Joseph Bueno de Mesquita and the cemetery’s first interment was for his relative, Benjamin Bueno de Mesquita. The cemetery expanded in the 1700’s from Chatham Square to the upper part of Oliver Street to Madison Avenue (Wiki).

The original map of the Dutch Colony (New York Historical Society)
In 1823, a City ordinance prohibited burials south of Canal Street and the congregation opened a second burial spot at West 11th Street. A third cemetery was opened at 21st Street west of Sixth Avenue. The size of the cemetery has been reduced over the years because of development and most of the bodies were removed and moved to the other cemeteries. In 1851, the City again prohibited burials below 86th Street and the congregations again opened a fourth cemetery in Ridgewood, Queens. In 1855, with more development changing the area again and over two hundred graves were removed from the site. Only about hundred remain (Wiki).

The inside of the cemetery
Two of the most notable people buried here are Reverend Gershom Mendes Seixas (1745-1816), the first American born Jewish spiritual leader and Dr. Walter Jonas Judah, the second person of the Jewish faith to attend an American Medical School (now Columbia University) and the first native born one. (Wiki). There are also 18 Jewish Revolutionary War era veterans and patriots buried here.
History of the Jewish Settlement in Dutch New York:
In September of 1654, just after the Jewish New Year, twenty-three Jews, mostly of Spanish and Portuguese origin arrived in Manhattan. These people had been living in Recife, the former capital of the 17th Century Dutch Brazil. When the Portuguese defeated the Dutch for control of Recife and brought with them the Inquisition, the Jews of that area left. Some returned to Amsterdam, where they had originated and others moved around the Caribbean to other islands. These twenty-three arrived in New York due a series of unseen events (Big Apple Secrets).

Governor Peter Stuyvesant did not want to permit them to stay but these settlers fought for their rights and won permission to remain. In 1655, the Jewish settlers applied to the Dutch authorities for permission to purchase a parcel of land as an exclusive place to bury their dead. In February of 1656, appealed “that consent may be given” for the purchase. In 1644, the British took New Amsterdam and renamed it New York and the Jews were granted more civil rights. In 1706, they had organized their own congregation, Shearith Israel (Big Apple Secrets).
The cemetery for the most part is pad locked but you can view the outside from the street level. The cemetery is open on Memorial Day for services to the members of the armed services but for the most part you have to view the cemetery from the street level.

The plaque that you can see at eye level just inside the cemetery.
This unique plot of land is easy to miss so look for the plaque at eye level as you pass it.