Enormous research efforts are being expended on two minimally invasive procedures: percutaneous vertebroplasty (VP) and kyphoplasty (KP). The present report, which is a detailed critical review of VP and KP that emphasizes their biomechanics aspects, is divided into six parts. In the first two parts, succinct descriptions are given of osteoporosis-induced vertebral body (VB) compression fractures as the underlying pathology to be treated with VP and KP, the theory of VP and KP, and the techniques used in performing these procedures. Concerns about VP and KP, such as the high radiation exposure burden that may be imposed on both patient and medical personnel and extravasation of the injectable bone cement, are discussed in the third part. Detailed discussions of fourteen issues/questions, such as the extent to which VP or KP affects various biomechanical measures of the augmented VB and those adjacent to it and the appropriate volume of the cement to use, are presented in the fourth part. Ideas for future research, such as development of a new generation of injectable bone cements and identification of an appropriate animal model, are covered in the fifth part. The final section contains a summary of the most salient points/observations made in the report.