Résumé : Promptly decaying lightest charginos were searched for in the context of scenarios with gravitino LSP. It was assumed that the stau is the next to lightest supersymmetric particle (NLSP). Data collected with the DELPHI detector at a centre-of-mass energy near 183 GeV were analysed combining the methods developed in previous searches. No evidence for the production of these partiel es was found. Hence, limits were derived at 95% confidence level. The mass of charginos was found to be greater than 85.5 GeV/c2 for mχ + ̃1+ - mτ + ̃1 ≥ 0.3 GeV/c2, independently of the mass of the gravitino. © 1999 Published by Elsevier Science B.V. All rights reserved.