ASCA results of eight X-ray sources in the Chamaeleon II dark cloud are presented. Six sources were identified as low-mass young stellar objects, either Class II--III sources or T Tauri stars with X-ray temperatures and luminosities in the range of 0.8--3 keV and 10(29.9) --10(31.1) erg s(-1) , respectively. Two of them showed time variability: one with typical flare profile and the other with a light curve showing fast-rise and gradual decay. These variable sources exhibited a higher temperature than did those of the other sources with less time variability. We found a high-temperature, time-variable, and moderately absorbed X-ray source which has no cataloged counterpart at any other wavelength. We also found hard X-rays at the position of a Herbig Ae candidate with an extremely large N_H of 2times 10(23) H cm(-2) , one order of magnitude higher than that estimated from the optical extinction. The origin of the X-rays, including these two sources, are discussed.