Two types of hollow-core anti-resonant fiber (HC-ARF) with properties of low-loss, single mode, and near-infrared broadband transmission are fabricated, which are used for the efficient propagation of high power picosecond ultrashort pulse. The propagation of a ultrashort pulse with average power of 74 W, single pulse energy of 185 μJ, and peak power of 10.8 MW through a node-less HC-ARF is realized, and the spectral and temporal characteristics of output lasers have no obvious changes.