The V protein of measles virus (MV-V) is a potent inhibitor of IFN-alpha/beta signaling pathway. We previously reported that when physically dissociated, the N-terminal and C-terminal regions of MV-V (PNT and VCT, respectively) could independently impair signal transduction. The PNT region inhibited IFN-alpha/beta signaling by interacting with at least two components of this pathway: Jak1 and STAT1. Here we report a direct interaction between the VCT of MV-V and STAT2, a third component of IFN-alpha/beta transduction machinery. This interaction with STAT2 is carried by the cysteine-constrained peptide of 49 amino acids localized in the VCT region, and is essential to the inhibition of IFN-alpha/beta signaling. In parallel, we also mapped STAT1 binding site in the PNT region and identified a minimal peptide of only 11 amino acids. IFN-alpha/beta signaling was impaired in human cells treated with this MV-V peptide fused to a cell-penetrating sequence. Finally, we show that signaling downstream of IFN-lambda, a recently identified cytokine that also relies on STAT1, STAT2 and Jak1 to transduce, is blocked by MV-V. Altogether, our results illustrate how a single viral protein has evolved to achieve a robust inhibition of the antiviral response by interacting with several signaling molecules.