buffering plate 20 and the fixing plate 10 absorb the dynamic weight and vibration applied from a train which moves on the rail 40 for thereby preventing a damage of the concrete railway 30 and a vibration and noise in the above described construction the railway rail support according to the present invention is stably engaged in such a manner that the buffering support portion 21 of the buffering plate 20 is inserted into the through hole 11 a namely the fixing plate 10 and the buffering plate 20 are not engaged by an adhesive therefore it is possible to prevent the buffering plate 20 from being escaped even when the dynamic weight and impact are repeatedly applied from the train which moves along the rail 40 in addition since the fixing plate 10 and the buffering plate 20 are engaged in such a manner that the buffering plate 20 is inserted into the through hole 11 a of the fixing plate 10 an assembling with respect to the fixing plate 10 of the buffering plate 20 is significantly enhanced and since the left and right fixing members 14 and 15 are integrally engaged to the fixing plate 10 by the rail fixing clip 50 it is possible to simplify the railway rail construction and maintenance therefore in the case that the railway rail is constructed using a railway rail support according to the present invention a periodic maintenance is not needed with respect to the railway rail due to a periodic separation of the buffering plate in addition it is possible to decrease the maintenance cost since the processes for the construction and maintenance of the railway are decreased the construction period.