The composition and properties of neodymium-doped silicate, phosphate and fluorophosphates glasses used for inertial confinement fusion (ICF) research-simultaneous high energy and high peak power (1011～1015 W) are reviewed. Optical and spectroscopic properties of different glasses for ICF laser application are compared, the parameters considered include linear and nonlinear refractive indices, stimulated emission cross section, fluorescent lifetime of neodymium ion in 4F3/2→4I11/2 transition. Some special technologies include continuous melting process of phosphate laser glass, dehydroxylation, elimination of platinum inclusion on the large scale laser glasses are discussed.