Let M be a smooth complex projective toric variety equipped with an action of a torus T , such that the complement D of the open T-orbit in M is a simple normal crossing divisor.Let G be a complex reductive affine algebraic group.We prove that an algebraic principal G-bundle E G → M admits a T-equivariant structure if and only if E G admits a logarithmic connection singular over D. If E H → M is a T-equivariant algebraic principal H-bundle, where H is any complex affine algebraic group, then E H in fact has a canonical integrable logarithmic connection singular over D.