Objectives: To assess the alveolar bone density by fractal dimension (FD) analysis in radiovisiograph of postmenopausal women of mandibular posterior region and to correlate FD values with t-scores of quantitative ultrasound of the calcaneus bone. Materials and Methods: This study, approved by the institutional review board, included 40 participants, aged 45-60 years divided into two groups. Twenty postmenopausal women with osteoporosis comprised group 1, and 20 postmenopausal women without osteoporosis comprised group 2 based on bone mineral density assessment of ultrasound of the calcaneus bone. Digital dental radiograph of mandibular first molar were obtained and used for assessing alveolar bone density by FD analysis and were correlated with t-scores of ultrasound of calcaneus bone. Results: The mean FD values were evaluated using SPSS 14 version software, and were found to be 1.738 and 1.867 for group 1 and group 2, respectively, which was statistically significant (P < 0.001). However, correlation between t-scores and FD values within the study group was not found to be statistically significant (P > 0.05). Conclusion: FD analysis using direct digital periapical radiographs is a novel method, which can be used for early diagnosis of osteoporosis in the alveolar bone.