Ternary glasses of barium (Li-substituted) aluminum (Ga- or Si-substituted) borate were solidified by new technique using conventional Floating-zone Pulling Down system. It was difficult to grow single crystalline materials in this system. However, solidification of glasses was easy. Refractive indexes of these glasses were 1.5-1.7. Third-order nonlinear optical effects, χ(3), were larger than that of standard SiO2 glass at 355 nm. Despite small refractive indexes as oxide glasses, large χ(3) were obtained. © 2006 Elsevier B.V. All rights reserved.