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Fluxon threshold properties and propagation velocities have been studied with regard to Josephson transmission line (JTL) having an external shunt resistance parallel to the Nb/Nb‐oxide/Pb junction. Stable and separated multifluxon waveforms have been observed in the well damped JTL. Experimentally obtained thresholds for the number of propagated fluxons and interval times between each respective fluxon agree with numerical simulations. The dependence of fluxon propagation velocities on the bias current level can be interpreted in terms of the McLaughlin–Scott theory.