Due to the vital importance of heat management in micro- and nano-electronic devices, it is quite necessary to evaluate the lattice thermal conductivity (κL) of two-dimensional (2D) materials. However, the accurate prediction on the κL has been demonstrated to be a rough task, especially for systems with large unit cell and low symmetry. Here, by using the Sure Independence Screening and Sparsifying Operator (SISSO) approach, we propose a physically interpretable descriptor to quickly determine the κL of many potential monolayer systems, which are one of the fast-growing class among numerous 2D materials. It should be noted that the Pearson correlation coefficient between the real and predicted κL is as high as 0.98, suggesting good reliability of the derived descriptor. Beyond the initial training data, the strong predictive power of our descriptor is further confirmed by good agreement between the predicted κL and those calculated theoretically or measured experimentally. As such a data-driven descriptor contains only elementary properties of the monolayers, it is very beneficial for high-throughput screening of systems with desired κL.