The main purpose of this study was to explore the characteristics of the gifted handicapped as a reference for the identification both of their giftedness and handicap and planning the suitable individualized educational program as well. Subjects include 17 gifted students with hearing impairment, 33 gifted students with visual impairment, 26 gifted students with orthopedic impairment, and 5 gifted learning disabled. Data gathered through questionnaire, interview, direct observation, and standardized instruments and analyzed by both qualitative and quantitative methods. The main findings were: (1) most of these gifted handicapped were placed in the regular settings and some received resource room services. The older the age, the hander to be defined as giftedness. Gifted learning disabled students were the hardest to be referred and labeled as gifted by their teachers. Also, their abilities evaluated in this study were lower than those of the others; (2) about 21% of the family members of the hearing impaired gifted also acquired the hearing impairment. Except the learning disabled, the other three kinds gifted handicapped had about 12% to 23% acquired physical deseases during their growth period; (3) Intraindividual differences were shown on the intelligence among these four types of gifted handicapped; (4) The more popular characteristics among these gifted handicapped were good learning attitude, excellent performances on the academic or arts subjects, automatic learning, strong comprehension ability and fair ability on research paper; (5) The gifted handicapped could accept their disabilities and Showed positive self concept; (6) The male, female, and total elementary level subjects' performances on the subscales of "abilities and achievements" and personality characteristics" and the total scale of the Self-Attitude Questionnaire were better than those of the norm sample. In addition, the female and total subjects' performances on the subscale of "outside world acceptance" were also better than those of the norm people; (7) The elementary hearing impaired and visually impaired gifted students' performances on the "abilities and achievements" and total scale of the Self-Attitude Questionnaire were better than those of the norm sample; (8) The junior and senior high gifted handicapped' personality characteristics were introversive-oriented. Their social adaptability was normal and their emotional stability was lower with higher anxiety and variability. The researcher made some suggestions for both teachers of the gifted and the handicapped in teaching and guidance of the gifted handicapped.