Abstract: Let G be a locally compact abelian group. The main purpose of this article is to find the space of multipliers from the Lorentz space L(p₁, q₁)(G) to L(p₂', q₂')(G). For this reason, the authors define the space A_p1,q1^p₂,q₂(G), discuss its properties and prove that the space of multipliers from L(p₁, q₁)(G) to L(p₂', q₂')(G) is isometrically isomorphic to the dual of A_p1,q1^p₂,q₂(G).

Key words: Lorentz space, Banach module, multiplier