Intrinsic isotropic near-zero thermal expansion is discovered in borate crystal Zn<sub>4sub>B<sub>6sub>O<sub>13sub> with high transparency in the ultraviolet region. First-principles calculations demonstrate that the very low thermal expansion originates mainly from the invariability of the solid [B<sub>24sub>O<sub>48sub>] truncated octahedra that are fixed by the [Zn<sub>4sub>O<sub>13sub>] clusters in the ZBO structure.