Abstract: A more comprehensive review on non-Fourier heat conduction is presented in this paper. Our new achievements in this research field, such as analytical solution ofnon-Fourier hyperbolic heat conduction in hollow sphere, experimental study and numerical simulation of non-Fourier heat conduction phenomenon in porous material under room temperature, "instantaneous thin layer" model for non-Fourier heat conduction, coupled analysis of non-Fourier heat conduction and non-Fick mass transfer and molecular dynamics simulation of non-Fourier heat conduction, are added.Additionally, some further research topics are proposed.