We construct supersymmetric gravitational soliton solutions of five-dimensional gauged supergravity coupled to arbitrarily many vector multiplets. The solutions are complete, globally stationary, 1/4-BPS and are asymptotically locally AdS5 with conformal boundary RxL(p, 1). The construction uses an SU(2)x U(1)-invariant ansatz originally used by Gutowski and Reall to construct supersymmetric asymptotically AdS5 black holes. A subset of these solutions have previously been obtained as supersymmetric limits of a class of local solutions of U(1)3 gauged supergravity found by Chong-Cvetic-Lu-Pope, and by Lucietti-Ovchinnikov in their classification of SU (2)-invariant solutions of minimal gauged supergravity.& COPY; 2023 Elsevier Inc. All rights reserved.