There is a long tradition in algebraic theory to investigate the structure of algebras, their category, their representations and, their cohomology and homology. More recently, representations of Lie triple systems has been given by using the symmetric bundles. It is well known that, Lie triple systems appear as particular Bol algebras. Today,in some sense, a structure theory of Bol algebras is given. In this paper, the category of Bol algebras is firstly studied. Secondly, after using the notion of Bol modules, the construction of representations of Bol algebras is obtained. We also investigate the dual representations of Bol algebras and, give the duality principle for such algebras.