The pumping damage resistance and thermal properties of the new Nd-doped phosphate laser glass are investigated under high energy flash lamp pumping. The laser output results show that the laser output ability of the new Nd glass specially designed for repetition-rate application is similar to that of the high-peak-power application type Nd glass, and higher than that of the early designed high-energy application type Nd glass. The thermal expansion property of the new Nd glasses is analyzed, as well as their laser output properties before and after acid-etching and ion exchanging. Especially, the pumping thresholds of the new Nd glass are measured under high energy and repetition rate conditions. The impact and correlation among the lasing, pumping, surface strengthening, and thermal properties are analyzed and discussed.