There is no evidence that autism is caused by any vaccine or any additive or preservative ever used in one. There have been large, well-controlled studies done all over the Western world that have confirmed this finding over and over again. There is no reason for any parent to deny a child the crucial protection today’s vaccines offer out of misguided fear that doing so would increase the risk for autism.
Paul, Rhea. "Parents Ask: Am I Risking Autism If I Vaccinate My Children?" Journal of Autism and Childhood Schizophrenia 39.6 (2009): 962-963.