  We study confinement of matter fields in the effective compact
(2+1)-dimensional QED theory of high-$T_{c}$ superconductors. It is shown that
the monopole configurations do not affect the propagator of gauge potential
$a_{\mu}$. Based on this result, we found that: chiral symmetry breaking and
confinement take place simultaneously in the antiferromagnetic state; neither
monopole effect nor Anderson-Higgs mechanism can cause confinement in the
d-wave superconducting state.
