The Corrected Force Analysis Technique (CFAT) is an inverse method used to identify the force distribution that excites a structure, knowing the resulting vibration field. The known displacement field is set in a discretized equation of motion corresponding to the studied structure. The CFAT adds to the classical FAT a correction of the finite difference scheme. The regularization of the method is guaranteed by the choice of the spatial step of discretization, which adds a low-pass filtering effect to the method in the wavenumber domain. It is a technique that is easy to set experimentally, requiring only an array of sensors to identify the vibration field. In this paper, we demonstrate a time domain extension of the CFAT method for plates, which could be used to study transient or strongly spatially uncorrelated excitation, such as turbulent flows. In a first part, a brief reminder of the frequency domain use of the CFAT is made. The modification made to obtain its time-domain counterpart is then explained in a second part. Eventually, its effectiveness is showed using simulation results for plates. The two dimensional extension is then presented.