In this paper, we introduce the almost linear spaces, a generalization of linear spaces. We prove that if the almost linear space X has a finite basis then, as in the case of a linear space, the cardinality of bases for the almost linear space X is unique. In the case X = W_X + V_X, we prove that B` = {x`₁, ..., x`_n} is a basis for the algebraic dual X^# of X if B = {x₁, ..., x_n} is a basis for the almost linear space X. And we have an example X (◎W_X + V_X) which has no such a basis.