Sodium ion capacitors (SICs) have been considered as a kind of promising devices to achieve both high power and energy density. However, it is still a challenge to achieve high energy output at elevated power delivery due to the poor rate capability of battery-type electrode materials and the kinetic mismatch with capacitor-type electrode materials. In this work, to fabricate SICs, P2-Na0.67Co0.5Mn0.5O2 (P2-NCM) was chosen as the battery-type cathode material, and a typical metal-organic framework (MOF) material, zeolitic imidazolate framework-8 (ZIF-8) derived carbon (ZDC) was utilized as the capacitor-type anode material. Due to the kinetic match and high-rate performance of both electrodes, the ZDC//P2-NCM SICs exhibited an energy output of 18.8 Wh kg−1 at a high power delivery of 12.75 kW kg−1.