An elastic laminate including a first nonwoven layer, a second nonwoven layer, and a plurality of elastic strands arranged in parallel with one another between said first and second nonwoven layers is disclosed, as well as a process for the production of the laminate. The elastic laminate includes elastic strands that are stretched and individually coated with an adhesive. The first and second nonwoven layers are attached to the stretched elastic strands to provide a corrugated elastic laminate when the elastic strands are relaxed. At least one of the nonwoven layers is attached to the strands at distinct adhesive bonding points in a repeating predetermined pattern in a lengthwise direction along the strands to form a predetermined corrugation pattern, and the nonwoven layers are substantially free of adhesive, except in the adhesive bonding points where the layers are attached to the elastic strands.