A detailed analysis on Lorentz Transformation （LT） is produced. The fatal errors occurred in derivation of LT are the mistakes made in the proposed system of equations for deriving LT, where in the same one system of simultaneous equations had been introduced two sets of equations defined in two different Space-Time, i.e. Galilean Space-Time with ‘absolute time’ and Minkowski Space-Time with ‘relative time’, which in result make LT being ‘Identical Transformation’, defined only in Minkowski Space-Time and untenable in Galiliean Space-Time. The ‘World Line’ describing light-propagation for LT represents as a single curve: x=ct, x’=ct’. LT depicts an observing process of two relatively rest observers instead of two relatively moving observers. The principle of invariance of ‘Space-Time Interval’ is invalid for the case of relatively moving observers. LT is actually a ‘Null’ Transformation [x’(t’) , t’]T = [x(t) , t]T which is untenable in Galilean Space-Time. Therefore, it is impossible to give evidence for any prediction of Einstein’s STR and GTR based on Lorentz Transformation via physical experiments and astronomical observations acquired in Galilean Space-Time (e.g. observations in Particle Collider or in Galaxy) without Galilean-Zhou Transformation.