The present invention provides a heat pipe structure of a heat radiator, which includes two vertically protruded radiating portions and heat-absorbing portions at a bottom of the two radiating portions. The heat-absorbing portions are assembled onto the heat-conducting pedestal. Two turning portions are formed at the intersection of the heat-absorbing portions and two radiating portions. The heat-absorbing portion has a curved shape. The heat-absorbing portions of adjacent heat pipes are misaligned, such that the turning portion of the heat-absorbing portion of one heat pipe aligns with the recessed space of the other heat pipe. A minimum of heat pipe assembly space obtains a maximum heating area, thus greatly improving the heat-radiating effect and reducing the manufacturing cost with better applicability and economic efficiency.