an innerspring construction comprises a first elongate string of pocketed coil springs with each coil having a longitudinal axis lying in a first plane and a first elongate tube of fabric having first transverse seams spaced along the length of the tube to define individual coil spring pockets . the tube is alternately bent proximate the first seams such that every other first seam lies on the same side of the first plane . a second elongate string of pocketed coils in which each coil has a longitudinal axis lying in a second plane has a second elongate tube of fabric with second transverse seams spaced along the length of the tube to define individual coil pockets . the second elongate string is attached to the first elongate string by bonds formed between circumferentially abutting surfaces on the coil pockets of the first and second tubes of fabric . the resulting construction provides for reduced tendency for leaning coils and permits greater innerspring firmness for a given coil wire diameter .