The main objective of this paper is to discuss the most important notions for any Cosmological model – Space, Time and Gravitation. According to Hypersphere World-Universe Model (WUM), the World is a 3D Hypersphere of the 4D Nucleus of the World, which is a 4D ball expanding in the fourth spatial dimension. All points of the Hypersphere are equivalent; there are no preferred centers or boundaries of the World. The World is Finite and has a Spatial Measure – Radius of the curvature in the fourth spatial dimension R . All spatial parameters of the World can be measured relatively to R . Any cosmological model of the Infinite Universe has no Spatial Measure. WUM introduces a Cosmological Time that is principally different from a Solar Time which is defined by the parameters of the Solar System: the Rotation of the Earth around its own axis (day) and the Sun (year). Cosmological Time is defined by an Impedance of the Medium of the World that equals to the Hubble’s parameter. Cosmological Time τ is a Timing Measure of the World that defines the Age of the World. All timing parameters of the World can be measured relatively to τ . WUM concludes that any theory of evolution of the Universe should be consistent with the Cosmological Time. WUM states a Supremacy of Matter: Time, Space and Gravitation have no separate existence from Matter. They are closely connected with the Impedance, Gravitomagnetic parameter, and Energy density of the Medium of the World respectively. Gravitation, Space and Time are all emergent phenomena. In this regard, it is worth recalling Albert Einstein quote: “When forced to summarize the theory of relativity in one sentence: time and space and gravitation have no separate existence from matter”.