With the higher and higher running velocity of Jacquard, the resonance phenomenon of components that will result in large deformations has attracted more and more attention of operators. This paper reports a study to analyze the transverse vibration of the heddle wires which are axially moving up and down during weaving process. The obtained first critical velocity of the heddle wire can be used as a creterion above which the Jacquard can operate smoothly. This research can benefit the design of the jacquard operating velocity.