We construct the photon-subtracted two-mode squeezed thermal state (PSTM-STS) by subtracting any number of photons from two-mode squeezed thermal state (TM-STS). It is found that the normalization factor of the density operator of PSTMSTS is a Jacobi polynomial of squeezing parameter λ and average photon numbern of the thermal state. We investigate the photon-number distribution (PND) of PSTMSTS and find a remarkable result that it is a quotient of two Jacobi polynomials, as well as derive a corresponding character of Jacobi polynomial.