Celiac disease (CD) is an autoimmune disease caused by an abnormal immune response triggered by ingestion of gluten. Treatment of CD is a lifelong gluten-free diet. Both diagnosed and undiagnosed CD has been found to be associated with reduced bone mineral density, which can lead to an increased risk of fractures. We therefore aimed to investigate the association of CD and the risk of fractures and osteoporosis in Denmark in a nationwide registry-based study. We identified all patients with CD (ICD-10 code K90.0) between 2000 and 2018 and included those with at least two contacts with a CD diagnosis. In total, 9397 CD patients and 93,964 randomly selected age- and sex-matched (1:10) references from the general population were identified. The overall hazard ratio (HR) of developing osteoporosis in CD patients compared with matches was 5.39 (95 % confidence interval (CI): 4.89, 5.95), however when excluding events of osteoporosis occurring within 12 months from the date of diagnosis the overall HR was reduced to 3.87 (95 % CI: 3.44, 4.33). The HR for major osteoporotic fractures was 1.37 (95 % CI: 1.25, 1.51) and for any fractures 1.27 (95 % CI: 1.18, 1.36). For osteoporosis, major osteoporotic fractures, and any fracture prior to diagnosis of CD the odds ratios comparing CD patients with matches were 4.32 (95 % CI: 3.64, 4.68), 1.29 (95 % CI: 1.21, 1.37) and 1.34 (95 % CI: 1.27, 1.41), respectively. Thus, this study showed an increased risk of osteoporosis and bone fractures among individuals with CD, both before and after diagnosis of CD. These results underline that the risk of osteoporosis should be considered in the clinical management of patients with CD and that early diagnosis and treatment could be important.