[en] The resistivity of superconducting whiskers of layered superconductors due to thermal creation of in-layer vortices is calculated. The voltage induced by the current along the whisker is obtained from the Fokker-Planck equation for vortex densities. An expression for the current-voltage relation in a magnetic field perpendicular to the layers is found in closed form. Power-law dependence for the resistivity at large currents or large magnetic fields and finite linear resistivity at small currents are predicted. These results also apply to narrow thin films of conventional superconductors