The objective of the research consisted in the evaluation of the possibility and effectiveness of fibre matrix use in order to maintain the original geometric parameters of the osseous crest in the places of alveolar sockets of the extracted teeth. Patients in the study group underwent filling of a post-extraction alveolar socket by fibre matrix, developed by the authors of the article, with further overlapping with a polymeric membrane (KLS Martin), which was modified in each certain case according to the peculiarities of defect configuration by means of thermoactive pressing method (Patent for invention of Ukraine №114143). Filling or overlapping of the post-extraction alveolar sockets were not performed in patients of the control group. Computed tomography in patients under research was made 4 months after the initial surgical intervention. Analysis of the parameters of the osseous tissue in the places of the alveolar sockets of the removed teeth was conducted 4 months after the extraction on the basis of the cone-beam computed tomography (CBCT) results in the ImageJ software (Wayne Rasband (NIH)) using the specialized BoneJ plugin. In the study group, the average level of resorption of the medial bone wall of the post-extraction socket was 0.6±0.4 mm (range of indices - 0.3-0.8 mm), distal bone wall - 0.4±0.3 mm (range of indices - 0.2-0.6 mm), vestibular bone wall - 1.4±0.7 mm (range of indices - 0.9-2.0 mm), lingual bone wall - 1.2±0.7 mm (range of indices - 0.8-1.9 mm). In the control group, the average level of bone resorption reached 1.4±0.5 mm (range of indices - 0.8-1.7 mm) from the medial side, 0.9±0.6 mm (range of indices - 0.7-1.5 mm) from the distal side, 2.2±0.4 mm (range of indices - 1.5-2.6 mm) from the vestibular side, 2.1±0.6 mm (range of indices - 1.3-2.4 mm) from the oral side. Obtained results indicate a more pronounced effect of an alveolar socket preservation when using fibre matrix compared with the ordinary healing of the tooth extraction region, which was confirmed by the results of the CBCT examination. Therefore, this approach can be recommended for introduction into practice to optimize the conditions for delayed implantation in the area of the teeth removed due to endodontic, periodontal, traumatic lesions or extensive caries pathology with the pronounced inflammatory changes at the time of intervention.