We compute the angular momentum flux from an inspiralling nonspinning binary system of compact objects in massless scalar-tensor (ST) theories. The angular momentum flux in scalar-tensor theories involves both a tensorial and a scalar contribution which can be further decomposed as instantaneous, tail and a non-linear memory effect up to 1.5PN order. Here, we compute the angular momentum flux up to 1.5PN order for the tensorial part and 1PN order for the scalar part using the tensorial and the scalar multipole moments.