Electro-activated shape memory polymer composites (SMPCs) are usually fabricated with adding conductive nanoparticles and conductive fibers into shape memory polymeric matrix. The current researches of electro-activated SMPCs mainly focus on two-dimensional rectangular panels and they have the disadvantages of large mass and long recovery time. Here a knitted-net shape memory tubular composite was developed and the experimental and numerical studies of electro-activated shape memory behavior subjected to compressive loading were conducted. The effects of component ratios and voltages on the electrical property, shape recovery behavior, recovery force and mechanical property of the tubular composites were investigated. The results show that the bulk density of knitted-net lightweight tubular composite is only 0.50 g/cm3. The shape fixity ratio and the shape recovery ratio are over 99%, and the recoverable compressive strain is up to 60%. The electro-activated shape recovery time of the tubular composites with DC voltage of 20 V is short to 12 s. The maximum recovery force can reach 3.19 N. An electricity-heat-deformation coupled finite element model was built and simulated the temperature variation and shape-changing in the shape recovery process. The knowledge gained in this work will be beneficial to the future development of remotely controlled fast-responsive actuators.