*

We present the discovery that exfoliated monolayer WTe₂, recently reported to be a 2D topological insulator, turns superconducting under electrostatic doping. The observed superconductivity, with a T_c around 700 mK, occurs at much lower levels of electron doping as compared to any other known 2D superconductor. The transition from normal to superconducting is gradual in temperature, and responds very differently to perpendicular and in-plane magnetic fields. The critical in-plane magnetic field exceeds the Pauli limit by over a factor of 2, indicating strong spin-orbit interaction.