The first example of catalytic insertion/asymmetric Claisen rearrangement tandem reaction of N‐sulfonyl‐1,2,3‐triazoles with allyl alcohol esters was achieved by bimetallic relay catalytic systems involving achiral rhodium salt and chiral N,N′‐dioxide–indium(III) complex. This manifold could overcome the limitation of single RhII catalysis, providing a straight and facile route to various enantioenriched β/γ‐amino acid derivatives in high yields (up to 99 %) with excellent diastereo‐ and enantioselectivities (up to >95:5 dr, 98:2 er). Moreover, possible transition state models were proposed to elucidate the origin of chiral induction based on the control experiments and X‐ray crystal structure of the catalyst.