How many steps can you take before traveling in the NBA?

More than 2 (two) steps from running position and more than 1 (one) step from stadning position.

According to the Official Rules of the National Basketball Association, Rule No. 10 - Violations and Penalties Section XIV-Traveling: "A player who receives the ball while he is progressing or upon completion of a dribble, may use a two count rhythm in coming to a stop, passing or shooting the ball"

Also same rules state that "A player who receives the ball while standing still may pivot, using either foot as the pivot foot." Which means that you are allowed to make only 1 (one) step from a standing position without lifting second leg, which is called pivot.