This is an announcement for the paper “Commutative Banach algebra generated by the Lambert multipliers with some new properties” by Jahangir Cheshmavar<https://arxiv.org/find/math/1/au:+Cheshmavar_J/0/1/0/all/0/1>, Sayed Kamel Hosseini<https://arxiv.org/find/math/1/au:+Hosseini_S/0/1/0/all/0/1>. Abstract: The set of all Lambert multipliers acting between $L_p$-spaces are Banach spaces. In this paper, we show that such multipliers are commutative Banach algebra. Also we present some new properties of this spaces. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1609.06075