The strengths of as‐drawn, abraded, and pristine Se, As2Se3, As2S3, and Ge30As15Se55 fibers are reported. Pristine strength values range from an average of 80 MPa for Se and Ge30As15Se55 to 100 and 180 MPa for As2Se3 and As2S3, respectively. Although these values are considerably higher than those reported previously for bulk samples, in no case does the maximum observed strength reach more than about 6% of that expected from simple theoretial calculations. Several factors that can control the strength are discussed. The overall behavior is interpreted in terms of the glass structures which permit localized stress relaxation effects in regions of weak, nondirectional bonds. These effects occur at temperatures well below the glass‐transition region.