The current study was carried out to evaluate the prevalence of malocclusion in both transverse and vertical relations among a group of Libyan population using diagnostic chart and sterilized diagnostic set. Subjects Methods: A total of 1056 randomly selected individuals from Libyan population within the age range of (17-26); 280 males (26.5%) and 776 females (73.5%). The mean and standard deviation of specimen were 20.6 ± 2.1 years selected randomly from different Secondary schools, high Institutes and Universities in Tripoli and Al-Khomes cities after the approval of the related administrations. These subjects were examined clinically to assess both components of malocclusion; in transverse and vertical relations. Result: the study demonstrated that 53.1% had normal overbite, and 37%, 5.5%, 2.8% and 1.5% had increased, edge to edge, anterior open bite and full coverage values respectively. A posterior cross bite registered in 13.6%, scissor bite in 2.7%, midline shift in 26.6% and midline diastema 5.3%. Conclusion: The normal overbite was the most common form of vertical relation while the posterior cross bite was the most common form of transverse relation