We present a new and especially powerful signature of cosmic strings and other topological or nontopological defects in the polarization of the cosmic microwave background (CMB). We show that even if defects contribute 1% or less in the CMB temperature anisotropy spectrum, their signature in the localB-polarization correlation function at angular scales of tens of arc-minutes is much larger than that due to gravitational waves from inflation, even if the latter contribute with a ratio as big as r 0.1 to the temperature anisotropies. We show that when going from non-local to local B-polarization, the ratio of the defect signal-to-noise with respect to the inflationary value increases by about an order of magnitude. Proposed B-polarization experiments, with a good sensitivity on arc-minute scales, may either detect a contribution from topological defects produced after inflation or place stringent limits on them. Already Planck should be able to improve present constraints on defect models by about an order of magnitude, to the level of = Gv 2 < 10 −7 . A future full-sky experiment like CMBpol, with polarization sensitivities of the order of 1µK-arcmin, will be able to constrain the defect parameter to less than a few ×10 −9 , depending on the defect model.