The house in Monsey, north of New York City, was hosting a religious celebration when the attacker burst in, according to the Orthodox Jewish Public Affairs Council (OJPAC).
The suspect fled but was later taken into custody, police said. The motive was not immediately clear.
One of the victims was stabbed at least six times, OJPAC said in a tweet.
The attack came a day after New York city police said officers were stepping up patrols in heavily Jewish districts following a spate of anti-Semitic threats and attacks.