This paper presents a new seven-level grid-connected converter with capability of voltage boosting. This topology utilizes a switched-capacitor unit along with an H-bridge. The proposed converter is compared with other recent proposed seven-level converters. The comparison results verify that the proposed seven-level converter needs lower switches, dc voltage sources, and diodes compared to other structures. Also, the total voltage on switches in the proposed converter is low. In order to achieve low total harmonic distortion, unity power factor, and current injection to the grid, model predictive controller is used. The feasibility of the proposed converter is proven by experimental works.