 On December 30, 1999, the Panthers traded him to the San Jose Sharks in exchange for Mike Vernon and the Sharks' third-round pick in the 2000 NHL Entry Draft, after which the Sharks traded Dvořák to the New York Rangers for Todd Harvey and the Rangers' fourth-round pick in the 2001 NHL Entry Draft.Dvořák finished the 1999–2000 season with the Rangers, scoring 11 goals and 33 points in 46 games.In 2000–01, Dvořák was placed on a line with fellow Czechs Petr Nedvěd and Jan Hlavac and he would have a breakout season.