Non-centrosymmetric superconductors are a fascinating class of materials exhibiting unconventional superconducting properties, such as mixed-parity pairing and enhanced upper critical fields. In this work, we investigate TaIr₂B₂ (𝑇𝑐 = 5.1 K) using a combination of complementary bulk- and surface-sensitive experimental techniques. Our results indicate that, although TaIr₂B₂ is intrinsically a two-band system, its superconducting state is well described by a single isotropic gap with strong-coupling characteristics. Notably, the upper critical field exceeds the Pauli paramagnetic limit and displays an nearly linear temperature dependence down to the lowest measured temperatures. This unusual behavior is analyzed in terms of the interplay between antisymmetric spin–orbit coupling, multiband effects, strong electron pairing interactions, and disorder. These findings provide new insight into the superconducting mechanisms in non-centrosymmetric systems and highlight TaIr₂B₂ as a promising platform for studying unconventional superconductivity.