Traffic flow prediction is becoming an increasingly important part for intelligent transportation control and management. This task is challenging due to (1) complex geographic and non-geographic spatial correlation; (2) temporal correlations between time slices; (3) dynamics of semantic high-order correlations along temporal dimension. To address those difficulties, commonly-used methods apply graph convolutional networks for spatial correlations and recurrent neural networks for temporal dependencies. In this work, We distinguish the two aspects of spatial correlations and propose the two types of spatial graphes, named as geographic graph and semantic hypergraph. We extend the traditional convolution and propose geographic-temporal graph convolution to jointly capture geographic-temporal correlations and semantic-temporal hypergraph convolution to jointly capture semantic-temporal correlations. Then We propose a geographic-semantic-temporal convolutional network (GST-HCN) that combines our graph convolutions and GRU units hierarchically in a unified end-to-end network. The experiment results on the Caltrans Performance Measurement System (PeMS) dataset show that our proposed model significantly outperforms other popular spatio-temporal deep learning models and suggest the effectiveness to explore geographic-semantic-temporal dependencies on deep learning models for traffic flow prediction.