Valdir Monteiro dos Santos Godoi, Simultaneity, Relativistic Time and Galileo Transformations, IFSL Volume 3, International Frontier Science Letters (Volume 3) https://www.scipress.com/IFSL.3.19 Abstract: It is shown that the theory of Restrict Relativity it’s not free of contradictions, being one of them related to the relativity of simultaneity. Another contradiction occurs when we calculate the light speed in relation to a moving reference using the contraction of space and dilation of time, because it is verified that the speed of light depends on the speed of the referential. It is also shown that for slow speeds, but great distances, that Lorentz’s transformation for the time does not reduces itself to their Galileo transformation, subject not explore further on most books of scientific disclosure and even academic. Keywords: