A sacroiliac belt with a non-elastic inner belt to wrap around the user's hips and an elastic outer belt to wrap from the back to opposite sides of the inner belt. Non-cinchable hook and loop fastener construction is used to secure the inner and outer belts in position. The inner belt includes an inside elastomeric foam layer with open-cell frictional gripping surface, a non-elastic outside layer of loop material, and a hook tab for engaging the loop material to close the belt. The inner belt may be established with a non-elastic composite foam-fabric structure comprising a bi-laminate of the foam and elastic fabric, and a strip of loop material secured lengthwise onto the fabric side of the bi-laminate. The outer belt includes an elastic strip and hook tabs for connecting to the strip of loop material. The non-elastic composite foam-fabric may be used in other orthopedic braces and supports.