  We measured the proper motion of a $\gamma$-ray radio-quiet pulsar J0633+0632
using Chandra observations performed in 2009 and 2017. The measured proper
motion is $53\pm15$~mas~yr$^{-1}$. We found that the proper motion direction
does not follow the extension of the J0633+0632 pulsar wind nebula. The
J0633+0632 pulsar wind nebula therefore can be a jet-like feature or a
misaligned outflow. We also discuss a possible birth cite of the pulsar.
