One of the greatest scientists Albert Einstein laid the foundation of Special and General Relativity. The creation of General Relativity is considered one of the greatest discoveries in the 20th century. General Relativity is the representation of the physical universe in the form of a four-dimensional space-time manifold. The General Relativity, the seminal work of Einstein, is the basis of modern cosmology. Einstein used a cosmological constant to represent the universe static. He has prepared the model of the universe on the basis that the universe is static, isotropic and homogeneous. In this study the steady state model of the Einstein universe is discussed in some details. The purpose of this article is to highlight the aspects of the Einstein’s universe with easier mathematical analysis.