Both the real and complex Equiangular tight frames have numerous applications in many fields. Here XF describe a method used for the construction of the real equiangular tight frame. According to the result from the frame theory, the ETF will satisfy some conditions, that is each column of it has unit norm, the columns are equiangular and forms a tight frame. In this paper, we construct a frame by applying the Steiner system and Hadamard matrix. Subsequently we verify our result by proving this frame satisfies all those conditions we know. Due to the achieved equiangularity property, the so obtained frames can be employed in Sparse signal Reconstruction and Fingerprinting.