Superconductivity in compounds whose crystal structure lacks inversion symmetry are known to display intriguing properties that deviate from conventional BCS behavior. Magnetization, resistivity, and heat capacity measurements on ThCoC2 sample (noncentrosymmetric CeNiC2 prototype structure) show evidence of bulk superconductivity with Tc = 2.65 K. Interestingly the upper critical field phase diagram displays positive curvature, and the specific heat at low temperature deviates from conventional exponential temperature dependence, which is suggestive of possible unconventional superconducting behavior in ThCoC2, analogous to that seen in the isostructural and isoelectronic noncentrosymmetric superconductor LaNiC2. We want to study zero field, transverse field and longitudinal field to investigate microscopic superconducting properties of ThCoC2 using the MUSR spectrometer.