Recent progresses in turbulent combustion researches are summarized in this paper with a focus on direct numerical simulation (DNS), large eddy simulation (LES) and laser diagnostics of turbulent combustion. In DNS studies of turbulent combustion, detailed kinetic mechanism tends to be included to investigate turbulence/flame interactions. LES of turbulent combustion can be classified into flame tracking method, PDF method and flame thickened method, and will play important roles in the developments of many combustors in engineering applications in near future. In the laser diagnostics of turbulent combustion, simultaneous measurements of several radical concentrations by planer laser induced fluorescence (PLIF) and multi-components velocity measurement by particle image velocimetry (PIV) are effective to investigate the local flame structure in turbulence. The simultaneous time-resolved PLIF and PIV will have great importance in future researches on turbulent combustion.