The office will provide consular assistance to citizens as well as work toward enhancing political and economic ties between the U.S. and Sweden.
"It is important for Sweden to strengthen relations with the United States, and New York is the world capital. It is a fantastic city and so much happens here - economically, politically and culturally - that affects us Swedes," Prime Minister Stefan Löfven said in a news statement.
Sweden's former consulate-general in New York was closed in 2010 and replaced by a Swedish honorary consul. The new consulate will open in autumn 2015 at the earliest.