Compressive Sensing (CS) based techniques generally discretize the signal space and assume that the signal is sparse and has support only on the discretized grid points. Due to continuous nature of the signals, representing the signal on a discretized grid results in the off-grid problem. Improper calibration is also another issue which can cause performance degradation. In this paper, a CS based blind calibration method is proposed for the multiple off-grid signal case. Proposed method is capable of estimating the off-grid signal parameters and correcting the gain and the phase errors simultaneously. Simulation analysis is performed and comments are drawn. Results show that the proposed method have superior performance in terms of the calculated metrics.