Based on the generalized Huygens Fresnel principle, the analytical expression of the cross-spectral density matrix element of the linear edge dislocation Gaussian Schell model beam in biological tissue transmission is derived, and the effects of different waist widths ω0x, off axis distances d, edge dislocation slopes p, and spatial correlation lengths σyy, σxy on the on-axis polarization degree, azimuth, and ellipticity of the beam will be compared. The results show that the larger the waist width ω0x, the larger the off-axis distance d, the smaller the edge dislocation slope p, the larger the change of P(0,0,L) and ε(0,0,L) and the smaller the extremum in the linear edge dislocation Gaussian Schell model beam. The greater the σxy, the greater the absolute values of P(0,0,L), θ(0,0,L) and ε(0,0,L). When σyy＞σxx, θ＜0 at the source, whereas σyy＜σxx corresponds to the opposite one, namely, θ＞0 at the source. The smaller the absolute value of the difference between σyy and σxx, the larger the extreme values of P(0,0,L), θ(0,0,L) and ε(0,0,L). With increasing the transmission distance, the value of P(0,0,L), θ(0,0,L) and ε(0,0,L) tends to be stable eventually, respectively.