Repair and/or reconstruction of invertebral discs

A method for treating low back pain caused by a degenerated intervertebral disc in a human subject, the method comprising administering into the intervertebral disc space of the degenerated intervertebral disc a therapeutically effective amount of a composition comprising a culture-expanded population of allogeneic human cells enriched for non-hematopoietic, STRO-1+, TNAP+ multipotential cells and/or progeny cells thereof, wherein the population of human cells is substantially free of CD34+ cells, wherein the administration of the composition restores the degenerated intervertebral disc by secreting paracrine factors into the disc space, and wherein the administration is not into the nucleus pulposus.