The fundamental concept of crisp set has been extended in many directions in recent past. The notion of rough set by Pawlak being noteworthy among them. A rough set captures indiscernibility of elements in a set. In the view of granular computing, rough set model is researched by single granulation. It has been extended to multi-granular rough set model in which the set approximations are defined by using multiple equivalence relations on the universe simultaneously. But, in many real life scenarios, an information system establishes the relation with different universes. This gave the extension of multi-granulation rough set on single universal set to multi-granulation rough set on two universal sets. In this paper, we define some algebraic properties and measures of uncertainty of multi-granulation rough set for two universal sets U and V. We study the algebraic properties that are interesting in the theory of multi-granular rough sets. This helps in describing and solving real life problems more accurately.