Structure of Bone Tissue. There are two types of bone tissue: compact and spongy. The names imply that the two types differ in density, or how tightly the tissue is packed together.There are three types of cells that contribute to bone homeostasis.Osteoblasts are bone-forming cell, osteoclasts resorb or break down bone, and osteocytes are mature bone cells.ompact bone consists of closely packed osteons or haversian systems. The osteon consists of a central canal called the osteonic (haversian) canal, which is surrounded by concentric rings (lamellae) of matrix. Between the rings of matrix, the bone cells (osteocytes) are located in spaces called lacunae.