Station-based one-way carsharing system brings transformation to public mobility and spurs the growth of sharing economy. The accurate estimation of rental and return demand of carsharing stations to support vehicle relocation is essential, hence a station-level short-term demand forecasting method named as station-embedding-based hybrid neural network (SEHNN) integrated by variational graph auto-encoder (VGAE) and long short-term memory network (LSTM) is proposed. The VGAE module undertakes the functions of station feature extraction and embedding, while the LSTM module captures the time series regularity and forecast the station-level demand. The results from the real data of Lanzhou, China demonstrate that, compared with ElasticNet, ARIMA, LSTM, and ConvLSTM, the mean absolute error of the proposed model targeted at hourly demand forecasting is reduced by 56.5%, 47.2%, 38.7%, and 38.5%, respectively, and it also outperforms some widely used models among different intervals and scales including main stations and subset carsharing system.