An observation of an excited Lambda(c)+* baryon decaying to Lambda(c)+pi+pi-, with Lambda(c)+\u2192pK-pi+, is presented. We reconstruct 39.7+-8.7 Lambda(c)+* baryons with a mass of 340.4+-0.6+-0.3 MeV/c2 above the Lambda(c)+ mass. The upper limit on the resonant branching ratio is B(Lambda(c)+*\u2192Sigma(c)pi\ub1)/B(Lambda(c)+*\u2192Lambda(c)+ pi+pi-)<36% at the 90% confidence level
