NOVELTY - An electrochemical capacitor has anode and cathode have polarizing electrode layers (A,B), respectively. The layer (A) contains carbon fiber (P) and crystalline activated carbon (P). The layer (B) contains carbon fiber (N) and non-crystalline carbon material (N). At least one of carbon fiber (P,N) has peak of 1-2 nm in pore distribution calculated by Barrett-Joyner-Halenda (BJH) method. The total value of specific surface area of carbon (P) and fiber (P) is more than total value of specific surface area of carbon material (N) and carbon fiber (N).    USE - Electrochemical capacitor is used for electrical storage source apparatus, non-contact charge system used for electrical/electronic device charge system, motor vehicle charge system, electrical/electronic device, and motor vehicle e.g. hybrid vehicle, electric vehicle and fuel cell electric vehicle, robot, micro electro mechanical system, toy, medical device, sensor, heater, railway, industrial apparatus, vessel, aircraft, communication apparatus, tag, and electrical storage system of solar cell electric power generation and wind power electric generation (all claimed). Uses include but are not limited to hybrid rail vehicle, tramcar, fuel cell railway, hybrid vessel, electric vessel, fuel cell vessel, portable electronic computer, wireless unit, hybrid crane, hybrid aircraft, etc.    ADVANTAGE - The electrochemical capacitor has high output characteristics, charging and discharging characteristics even in environment from high to low temperature, energy density and safety.    DETAILED DESCRIPTION - An electrochemical capacitor has an anode, a cathode and an electrolyte solution comprising lithium ion and an organic solvent. The anode and cathode have polarizing electrode layers (A,B), respectively. The polarizing electrode layer (A) contains carbon fiber (P) and crystalline activated carbon (P). The polarizing electrode layer (B) contains carbon fiber (N) and non-crystalline carbon material (N). At least one of carbon fiber (P) and carbon fiber (N) has peak of 1-2 nm in pore distribution calculated by Barrett-Joyner-Halenda (BJH) analysis method by nitrogen adsorption method. The total value of specific surface area of crystalline activated carbon (P) and specific surface area of carbon fiber (P) is more than total value of specific surface area of non-crystalline carbon material (N) and carbon fiber (N). INDEPENDENT CLAIMS are included for the following:    (1) composite material, which contains carbon fiber and crystalline activated carbon or non-crystalline carbon material; and    (2) polarizing electrode.