Based on the adhesive mechanism of mussels, we present a facile strategy to prepare nanocomposite polydopamine-poly(N-acryloyl glycinamide)-graphene oxide (PDA-PNAGA-GO) hydrogels with lots of catechol groups in the matrix of hydrogel. The microfibril structure formed by PDA chains enables the hydrogels high stretchability (similar to 1500%) and toughness (6990 J/m(2)); the multiple hydrogen bonding interactions and pi-pi interactions among the PNAGA network and PDA chains also enable a hydrogel perfect self-healing performance. Moreover, GO in the hydrogel can absorb the near-infrared irradiation, resulting in the temperature difference between the surface and bottom area and then a bending deformation (with 40% of actuation degree) of the hydrogel. Besides, the GO can also make the hydrogels electrically conductive, and the self-healing efficiency (similar to 87% for the first healing) could also be calculated according to the retention rate of conductivity of hydrogel after being healed at 90 degrees C. The unique properties will enable the PDA-PNAGA-GO hydrogels to be widely used in the field of tissue engineering and soft actuators.