This research aims at present to detect the relationship between Achievement Motivation and Aggressive behavior among a sample of first-grade students of secondary , and the study of the differences between the sexes ( male and female ) in the research variables ( achievement motivation, aggressive behavior). And the research community of the secondary schools of government in the city of Jaramana , who are students in the first grade of secondary ( 15-17 years) , has been withdrawn sample randomly , which amounted to (100 ) students (50 males +50 females) , and the researcher used the following tools: 1 - a measure of achievement motivation, 2 - a measure of aggressive behavior, after that she has tested Validity and reliability, The researcher followed the descriptive analytical method so as to its relevance to the nature of the research, she has developed a set of hypotheses and Results came as following : 1 - The total prevalence of aggressive behavior in the first grade of secondary moderately. 2- The total prevalence of achievement motivation in the first grade of secondary hilgly 3There is a statistically significant relationship between the aggressive behavior and achievement motivation among a sample Search . 4 - There were statistically significant differences in the aggressive behavior depending on gender for the sample of the male.5 - There are statistically significant differences in self-concept depending on the gender for the sample of the females. In light of these results the researcher presented a set of proposals was the most important for further studies and research on aggressive behavior and its relationship to some psychological variables in the various stages of education (primary , university ) and the need to develop outreach programs designed to give teenagers the methods proper to learn positive behaviors correct and that lead help raise the level of motivation to accomplish them.