We have developed melt reprocessable and DIW printable modular soft elastomers by introducing a dual-network polymer that leverages both the self-assembly of block copolymers and the use of associative polymers. The developed LAL system synergizes the emerging homogeneous associative polymers and existing success of block copolymer self-assembly (ref. and references therein) to produce elastomers that span three orders of magnitude in Young's modulus from ~8 kPa to 8 ~MPa while maintaining tensile breaking strain around 150% (Fig. ). At elevated temperatures, the self-assembled glassy nodules and reversible bonds dissociate, leading to a reversible solid-like to liquid-like transition under shear stress. This property makes the LAL polymers suitable for DIW without the need for any additional solvents. The lower limit of stiffness for our elastomers is more than three times lower than the softest solvent-free DIW elastomers in literature (Fig. ) , about 20 times softer than the solvent-free DIW printable polymer composites (Fig. ) , and more than 6 times softer than the currently available thermoplastic polymers printed using other additive manufacturing techniques (Fig. ) . Moreover, because the networks are physically crosslinked by glassy nodules, they are intrinsically reprocessable with heating or by using solvents such as dichloromethane, as visualized by the optical images in Fig. . Compared to the original polymer, the reprocessed polymer exhibits nearly the same mechanical properties (Fig. ). Despite their inherent melt reprocessability, these polymers are mechanically stable up to a relatively high temperature of 150 ºC (Fig. ). The exceptional combination of a wide range of accessible mechanical properties, reprocessability, and thermostability highlights the potential of LAL polymers as a new class of soft DIW printable elastomers.