Lithium-ion capacitors (LICs) are attracting extensive attentions owing to their high energy density, rapid power output, and excellent cyclability. However, one of the key challenges encountered by LICs is balancing the sluggish kinetics of intercalation electrodes against capacitive electrodes. In this work, a TiO2(B)@C/CNT nanohybrid electrode was synthetized by a microwave-assisted solvothermal method. The nanohybrids exhibited a high reversible capacity of 291 mAh/g and high kinetic characteristics. Subsequently, a polyimide (PI) membrane was prepared by electrospinning technique for the construction of a ternary ionogel electrolyte. The ionogel electrolyte exhibited high ionic conductivity and electrochemical stability. Notably, a quasi-solid-state lithium-ion capacitor (QSLIC) was assembled with TiO2(B)@C/CNT as anode, commercial activated carbon (AC) as cathode and the ionogel electrolyte. It delivered a maximum energy density of 83.1 Wh/kg and a maximum power density of 18338.1 W/kg at 60℃. Moreover, the electrochemical performances of the QSLIC exhibited an obvious temperature dependence.