This study aimed to examine the extent of the contribution of the enrichment program in the subject of the Arabic language to enabling 5th grade students with potentiality creative to possess thinking skills within the framework of critical thinking in the city of Nazareth. The study sample was a convenience sample consisted of 56 male and female students with potentiality creative from the 5th grade from Bir Al-Amir School in the city of Nazareth. The sample was divided into two equal groups, an experimental group that studied the Arabic language using the enrichment program, and a control group that used the traditional approach. The study tools consisted of an Evaluation of Potential Creativity Test (EPoC), and a test that measures thinking skills within the critical thinking framework. The validity and reliability of both tools were verified. The researcher used the associated one-way analysis of variance (ANCOVA) to answer the study questions .Findings indicated the existence of a significant statistical difference at the significance level (α≤0.05) between the means of the two study groups of students regarding the thinking skills test in the framework of critical thinking. This difference was in favor of the experimental group and is due to the enrichment program that was employed in the study. The results also showed that there were statistically significant gender differences in favor of females in terms of the contribution of the Arabic language enrichment program to enabling students with potential creativity in the experimental group to acquire thinking skills within the critical thinking framework. The study recommends the necessity of employing the (EPoC) diagnosis as a globally approved approach in the rapid survey and accurate diagnosis of potential creativity of students, in addition to using scales for rating the behavioral characteristics of superior students (SRBCSS), and academic achievement of gifted students in addition to qualifying teachers to use the (EPoC) diagnosis to accurately identify the characteristics of gifted students so as to better understand and nurture gifted students.