Rational design and fabrication of core-shell nanoarrays (CSNs) with distinctive architectures and desirable capacitive performances are believed to be a promising and challenging strategy toward advanced electrode materials for supercapacitors (SCs). In this work, we report a two-step synthesis of three-dimensional (3D) MnCo2O4 nanosheets@MnMoO4 nanosheets CSNs on Ni foam (NF), which are constructed by vertically growing MnMoO4 nanosheets onto interconnected MnCo2O4 nanosheets arrays (NAs). Such MnCo2O4@MnMoO4 CSNs can make full use of its unique 3D architecture and the synergistic effect between MnCo2O4 and MnMoO4. Therefore, the prepared MnCo2O4@MnMoO4 CSNs, as a binder-free electrode for SCs, demonstrate a significantly enhanced specific capacity (885 C g(-1) at 3 A g(-1)), higher rate capability (629 C g(-1) at 30 A g(-1)), and better cycling stability (95% capacitance retention after 5000 cycles at 10 A g(-1)) compared with the single MnCo2O4 or MnMoO4 NAs electrode. Moreover, the assembled asymmetric SC cell (ASC) based on MnCo2O4@MnMoO4//activated carbon (AC) also exhibits a specific capacity (222 C g(-1) at 1 A g(-1)) and an energy density (49.4Wh kg(-1) at 815W kg(-1)), indicating a promising practical application for the prepared MnCo2O4@MnMoO4 CSNs in high-performance SCs.