Based on the development status of scientific and technological talents in Shaanxi Province, using the dynamic data of statistical yearbook, combined with Granger causality test and stepstep regression analysis, the prediction model of time series and BP neural network is established to predict the demand for scientific and technological talents in Shaanxi Province from 2021 to 2025. The results show that compared with the grey GM (1,1) model, the time series model can predict the total industrial output value more accurately. The total output value of regulated industrial enterprises in Shaanxi province can effectively predict the demand for scientific and technological talents in Shaanxi Province. The demand for scientific and technological talents in Shaanxi province will increase exponentially and reach 267 000 by 2025. In order to fully stimulate the innovation potential of scientific and technological talents, suggestions are put forward from three aspects: paying attention to key industries in Shaanxi Province, improving the management plan of scientific and technological talents in Shaanxi Province and making full use of them.