A curved curtain rod formed by a curved telescopic rod and two fixing bases is revealed. The curved telescopic rod is formed by two curved tubes sleeved with each other while each end of the curved telescopic rod is connected to each fixing base respectively. The fixing base includes a pivotal base having a hollow cylinder mounted with a buffer part therein, a pivotal part whose one end is moveable and connected to the buffer part while the other end is a projecting rod connected to the telescopic rod, and a cover with a central opening covered around the pivotal base. One end of the pivotal part is limited in an inner side of the central opening while the projecting rod passes through the central opening to the outer side, moves and pivots so as to adjust the angle between the telescopic rod and the fixing base.