A sports bra has base and cover layers of four-way stretchable material providing a first level of radial compression to the torso, a wide elastic band gripping the midriff to resist rotational and vertical motion of the bra relative to the torso and crisscrossed bands of elastic material spanning the back portion of the bra. Laterally-stretchable, vertically-shape-retaining foam panels overlap the base layer to support the breasts from below and power-mesh is sandwiched between the base and cover layers to increase radial compression of the breasts from above. The components all cooperate to limit bounce of the breasts during vigorous physical activity by the wearer. Adjustable shoulder straps and a zippered front are optional.