This document proposes a deep multi-task learning method called DMTL_LC for video concept detection that jointly considers task and label relations. It extends a convolutional neural network with a two-sided network for multi-task learning and adds a label-based constraint to incorporate statistical information about pairwise label correlations. An evaluation on the TRECVID SIN 2013 dataset shows DMTL_LC outperforms other single-task and multi-task baselines, achieving a MXinfAP of 22.60%. The method contributes a deep learning approach for concept detection that leverages relationships between tasks and labels.