Plasma dynamics and momentum transport near an X line during time‐dependent magnetic reconnection in a collisionless plasma are investigated based on two‐dimensional particle simulations. We find that a weakly skewed velocity distribution is formed near the magnetic X line, leading to the presence of off‐diagonal elements of the plasma pressure tensor. Let the reconnection electric field be in theydirection. The gradients of the off‐diagonal elements of the pressure tensor can provide a transport of theymomentum. During the normal magnetic reconnection, the momentum transport associated with the off‐diagonal terms of the pressure tensor mediates a transfer of theymomentum from the region near the X line to regions outside the X line. A period of “reverse magnetic reconnection,” during which the plasma kinetic energy is converted into magnetic energy, is also observed in the simulation. When reverse reconnection occurs, the gradients of the off‐diagonal pressure tensor elements can mediate a transfer ofymomentum into the X line. It is found that the inertial term also plays a significant role in the force balance near the magnetic X line. An explanation for the origin of the off‐diagonal pressure terms is also gi