A spunbond nonwoven fabric is provided which has superior strength characteristics to conventional fabrics yet is comparably soft. The fabric is a laminate having a web made from a high melt flow rate polyolefin polymer and a low melt flow rate polymer. The spunbond laminate fabric of this invention may have therebetween a layer of meltblown nonwoven fabric or film. The laminate produced according to this invention has a strength which is at least 10 % greater than a comparable fabric made without the high melt flow rate polymer web. The nonwoven fabric of this invention may be used in products such as, for example, garments, personal care products, medical products, protective covers and outdoor fabrics.