Abstract Following the reconstruction of the TEXT tokamak in China at Huazhong University of Science and Technology, renamed as J-TEXT, a plethora of experimental and theoretical investigations have been conducted to elucidate the intricacies of turbulent transport within the tokamak configuration. These endeavors encompass not only the J-TEXT device's experimental advancements but also delve into critical issues pertinent to the optimization of future fusion devices and reactors. The researches include the topics about the suppression of turbulence, flow drive and damping, density limit, nonlocal transport, intrinsic toroidal flow, turbulence and flow with magnetic island, turbulent transport in stochastic layer, turbulence and zonal flow with energetic particles or helium ash. Several important achievements have been got in the last few years, which will be further elaborated upon in this comprehensive review.