Connective tissue is one of the four major types of animal tissue and plays essential roles throughout the human body. Genetic factors, aging, and trauma all contribute to connective tissue dysfunction and motivate the need for strategies to promote healing and regeneration. The goal of this Review is to link a fundamental understanding of connective tissues and their multiscale properties to better inform the design and translation of novel biomaterials to promote their regeneration. We discuss major clinical problems in adipose tissue, cartilage, dermis, and tendon that inspire the need to replace native connective tissue with biomaterials. We then detail multiscale structure-function relationships in native soft connective tissues that may be used to guide material design. Several biomaterials strategies to improve healing of these tissues that incorporate biologics and are biologic-free are reviewed. Finally, we highlight important guidance documents and standards (ASTM, FDA, EMA) that are important to consider for translating new biomaterials into clinical practice.