This paper aims at analyzing the outgoing long wave radiation anomalies of the MS6.5 Ludian and MS6.6 Jinggu earthquakes in Yunnan Province,using the outgoing long wave date comes from meteorological satellite FY-2E and by the method of relative power spectrum. The result shows that there obviously exist relative power spectrum anomalies of outgoing long wave in the short term before the two earthquakes. The edge and direction of anomalous characteristics are closely related to the faults. The relative power spectrum of the two earthquakes distinctly deviates from its annual average and standard deviation. The persistent deviation period is about two months and the maximum deviation is over seven times. The time-spatial characteristics of relative power spectrum for the two earthquakes are obvious and easy to identify. It can also provide references for earthquake prediction in this regions by using outgoing long wave radiation data.