BP-algebra is a non-empty set X with a constant 0 and a binary operation ” ∗ ”, satisfying the certain axioms. An algebra relationship with BP-algebra is a BM-algebra. Their relationship is every BP-algebra 0-commutative is a BM- algebra. The concept of the generalized of derivation in BM-algebra is discussed. In this thesis, the generalized of derivations and the generalized of f-der…