We experimentally demonstrate a hybrid structure microlaser on chip with a single CdSe nanowire attached to a high-Q silica microdisk cavity at room temperature. When pumped by a 532 nm pulse laser, both single-longitudinal mode and multi-longitudinal mode lasers with linewidth of 0.18 nm are obtained from the hybrid structure with a 58-µm-diameter microdisk and a 250-nm diameter nanowire. The measured lasing threshold of the microlaser is as low as 100 μJ/cm².