This paper introduces the state-of-the-art coherent beam combination of phased fiber laser array (PFLA), and summarizes the latest research progress in this area at the Institute of Optics and Electronics, Chinese Academy of Sciences, including optimization of coherent combining capability of PFLA based on amplitude modulation, transceiving coherent combining of PFLA, coherent combining of PFLA using target-in-the-loop, co-phasing combining of receiving beamlets of PFLA under atmospheric turbulence, the method of coherent combining based on multi-aperture wavefront detection, as well as the large-angle high-precision continuous addressing scanning of beams using adaptive fiber-optics collimator and microlens array scanner. The above research will promote the evolution of PFLA technology towards more units, higher power, longer distance etc., and facilitate its combinations and developments with laser atmospheric transmission, space laser communication, adaptive optics and other related theories and applications.