  The electric polarization as a bulk quantity is described by the modern
theory of polarization in insulating systems and cannot be defined in
conducting systems. Upon a gradual change of a parameter in the system, the
polarization always varies smoothly as long as the gap remains open. In this
paper, we focus on the two-dimensional Weyl semimetal, which hosts Weyl nodes
protected by symmetries, and study the behavior of the polarization when a
symmetry-breaking term $M$ is introduced and a gap opens. We show that there
can be a jump between $M\to0^+$ and $M\to0^-$ limits. We find that the jump is
universally described by the ``Weyl dipole" representing how the Weyl nodes
with monopole charges are displaced in the reciprocal space. Our result is
applicable to general two-dimensional Weyl semimetals.
