In this paper, we prove the existence of mild solutions for the following first-order impulsive semilinear stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay in the case where the right hand side is convex or nonconvex-valued. The results are obtained by using two fixed point theorems for multivalued mappings.Ministerio de Economía y Competitividad (España) MTM2011-22411Junta de Andalucía. Consejería de Innovación, Ciencia y Empresa 2010/FQM314Junta de Andalucía P12-FQM-149