Answer

In Jain tradition, the word “monastery” usually refers to places where Jain monks or nuns reside. In North America, however, fully traditional Jain monastic residences are generally not common, because Jain sādhus and sādhvīs traditionally observe strict vows including non-use of vehicles.

So, the practical list for the United States, Canada, and the Americas is usually a list of Jain temples, Jain centers, Jain societies, and Jain sanghs.

United States — Jain Centers and Temples

• Jain Center of America — New York
• Jain Center of Northern California — Milpitas, California
• Jain Center of Southern California — Buena Park, California
• Jain Society of San Diego — San Diego, California
• Jain Society of Greater Sacramento — California
• Jain Center of Greater Phoenix — Arizona
• Jain Center of Connecticut — Connecticut
• Jain Center of Greater Hartford — Connecticut
• Delaware Jain Sangh — Delaware
• Jain Center of South Florida — Florida
• Jain Society of Central Florida — Florida
• Jain Association of Northeast Florida — Jacksonville, Florida
• Jain Society of Tampa Bay — Florida
• Jain Association of Palm Beach and Treasure Coast — Florida
• Jain Society of Metropolitan Chicago — Illinois
• Jain Society of Greater Detroit — Michigan
• Jain Center of Minnesota — Minnesota
• Jain Society of Las Vegas — Nevada
• Jain Center of New Jersey — New Jersey
• Jain Samaj of Long Island — New York
• Jain Center of Syracuse — New York
• Jain Community of Buffalo — New York
• Jain Society of Metropolitan Washington — Maryland/Virginia area
• Jain Society of Greater Cleveland — Ohio
• Jain Center of Cincinnati and Dayton — Ohio
• Jain Society of Oregon — Oregon
• Jain Society of Pittsburgh — Pennsylvania
• Jain Society of Houston — Texas
• Jain Society of North Texas — Dallas/Fort Worth, Texas
• Jain Society of Austin — Texas
• Jain Society of Greater Atlanta — Georgia
• Jain Society of Greater Boston — Massachusetts
• Jain Society of Greater Charlotte — North Carolina
• Jain Society of Seattle / Jain community in Washington state

Canada — Jain Centers and Temples

• Jain Society of Toronto — Ontario
• Jain Society of Alberta — Edmonton/Calgary, Alberta
• Jain Center of British Columbia — British Columbia
• Jain Association of Ottawa-Carleton — Ontario
• Jain Samaj of Niagara Falls / Welland area — Ontario
• Jain Society of Waterloo Region — Ontario
• Jain groups and sanghs in Montreal and other Canadian cities

Rest of North America, Central America, South America

Outside the United States and Canada, Jain communities exist in some places, but established Jain temples or formal Jain centers are much fewer.

Known Jain presence may be found in:

• Mexico — small Jain/Indian community presence
• Caribbean countries — Jain families may be present within Indian communities
• Brazil — small Jain/Indian community presence
• Argentina — small Indian/Jain community presence
• Guyana, Suriname, Trinidad and Tobago — Indian-origin communities exist, but formal Jain institutions are limited

Sorry, I can only provide information that is clearly established within Jain tradition and reliable Jain community listings. A complete verified list of formal Jain institutions in all of Central and South America is not clearly established.

Explanation

Most Jain institutions in the Americas serve as:

• Temples for darshan and pūjā
• Centers for Paryushan, Mahavir Janma Kalyanak, Das Lakshan, and other observances
• Pathshalas for children and youth
• Community sanghs for pravachan, svādhyāy, and cultural activities

They are usually not “monasteries” in the Indian sense, because traditional Jain ascetics do not normally settle in North America in the same way as in India.

Takeaway

For the United States and Canada, the best term is Jain Centers / Jain Temples / Jain Societies, not monasteries. For Central and South America, Jain presence exists in some places, but formal Jain centers are limited and not as widely established as in the U.S. and Canada.