Abstract: In order to estimate the micro-motion parameters of rigid targets with second-order translation, a parameter measurement method based on short-time cubic phase function (CPF) and inverse Radon transform (IRT) was proposed. Based on the typical rotation micro-motion model, the instantaneous frequency rate (IFR) representation was first derived and analyzed after primary translation compensation. The short-time CPF was then used to obtain the two-dimensional time-IFR plane of radar echoes. Finally, based on the two-dimensional time-IFR plane, the translation compensation velocity error, acceleration error and micro-motion parameters were measured by taking advantage of the sinusoid curve measuring principle based on IRT. The simulations validate the effectiveness of the proposed method.