Cardiac tissues generated from human induced pluripotent stem (iPS) cells can serve as platforms for patient-specific studies of physiology and disease1–6. The predictive power of these models remains limited by their immature state1,2,5,6. We show that this fundamental limitation could be overcome if cardiac tissues are formed from early iPS-derived cardiomyocytes (iPS-CM), soon after the initiation of spontaneous contractions, and subjected to physical conditioning of an increasing intensity. After only 4 weeks of culture, these tissues displayed adult-like gene expression profiles, remarkably organized ultrastructure, physiologic sarcomere length (2.2 μm) and density of mitochondria (30%), the presence of transverse tubules (t-tubules), oxidative metabolism, positive force-frequency relationship, and functional calcium handling for all iPS cell lines studied. Electromechanical properties developed more slowly and did not achieve the stage of maturity seen in adult human myocardium. Tissue maturity was necessary for achieving physiologic responses to isoproterenol and recapitulating pathological hypertrophy, in support of the utility of this tissue model for studies of cardiac development and disease.