The three-dimensional antiferromagnet has recently drawn significant attention due to the coexistence of Dirac and triply degenerated magnons. Herein, we report that , with cubic symmetry, exhibits novel spin-driven ferroelectric polarization () with a strong linear magnetoelectric (ME) coupling effect by comprehensive measurements in magnetization and electric polarization. The magnetic field ()-induced polarization along x-, y-, and -axes emerges below , indicative of intrinsic coupling between magnetism and ferroelectricity in this cubic lattice. Our results reveal nine nonvanished components of a ME tensor, while only the , and components display a remarkable linear response to . In particular, we observe six ME states—namely, , and —that can be generated by applying an external magnetic field in a specific direction, and thus makes a very appealing prototype in multifunctional applications. Our results point toward as a new, linear ME material and may pave a way to exploring the rich ME response in the presence of a Dirac magnon in a highly symmetric crystal structure.