Graphene film (GF) and graphene nanowall (GW) are first grown on conductive nickel foams (NF) by a chemical vapor deposition (CVD) method. Then the nickel cobalt layered double hydroxides (NiCo-LDHs) nanosheets arrays are directly deposited on the NF, GF/NF and GW/NF by a facile hydrothermal method to form three-dimensional (3D) porous NiCo-LDH/Gr composite electrodes. The electrochemical performance and morphology of the obtained self-supported NiCo-LDH/NF, NiCo-LDH/GF/NF and NiCo-LDH/ GW/NF composite electrodes are analyzed and observed. It shows that the NiCo-LDH/GF/NF composite electrode exhibits excellent capacitive properties (2690 F g(-1) at 5 A g(-1)), which is 2.0 and 1.5 times of that of NiCo-LDH/NF and NiCo-LDH/GW/NF. The outstanding capacity of the NiCo-LDH/GF/NF electrode is ascribed to the numerous channels for rapid electron transport provided by the self-supported and high-quality GF. In addition, an asymmetric supercapacitor (ASC) is fabricated by using NiCo-LDH/GF/NF electrode. The optimized NiCo-LDH/GF/NF//AC device delivers a maximum energy density of 50.2 Wh kg(-1), a high power density of 8002Wkg(-1) at 17.6Wh kg(-1), and powers two green light-emitting-diodes for more than 3min after charging 1 min. Therefore, the NiCo-LDH/Gr/NF composite electrode is a potential candidate in electrochemical energy storage device. (C) 2018 Elsevier B.V. All rights reserved.