This thesis discusses the subalgebra and ideal concepts in companion BN1- algebra which are called companion sub BN1-algebra and companion BN1-ideal. Let S is a nonempty subset of X . S is said to be a subalgebra of X , if x, y ∈ S, then x ∗ y ∈ S. While S is called ideal of X , if x ∗ y, y ∈ S, then x ∈ S. The final result of this research is the properties of companion sub BN1-a…