It is well known that it is impossible to define products of distributions in the framework of the space of Schwartz’s distributions.
In this work an extension of the space of distributions is constructed. Elements of this extensions are called d-distributions. This extension is a graded linear algebra into which the space of generalized functions may be imbedded with preservation of operations of linear algebra as homogeneous components of the first degree. For d-distribution an operator of differentiation is determined and shown to be linked with the multiplication of d-distributions by the same identities as in the case of differentiable functions.