This paper provides a spatial vector autoregressive (SpVAR) analysis of growth spillovers for the Spanish regions over the period . First, a spatial Granger causality analysis is performed that indicates the relevant impact of spatial spillover effects across regions in Spain. Second, the empirical research offers a contribution in the context of the SpVAR modelling estimating the push-in (from the neighbours to the region) and push-out (from the region to its neighbours) effects of growth spillovers within a regional economic system. Finally, the proposed methodology reveals empirical evidence about both the short-run and long-term regional growth adjustment processes in space and time. The results for the Spanish regional panel data suggest the existence of strong spatiotemporal regional spillovers of growth output. This has important implications for the choice of regional policy goals and regional policy instruments.JEL classification: C32, E6, H54, R58 * The comments of the participants of the EU-REAL/WIFO Workshop 'European Integration and Regional Modelling' (Vienna 2010) and the EU-REAL (CRENoS/University of Sassari Workshop 'Economic Development in Peripheral Regions' (Sardinia 2011) are greatly appreciated. The comments and suggestions of Jesús Crespo, Peter Huber and Enrique López-Bazo are particularly appreciated. The authors acknowledge the funding received from the Ministry of Science and Innovation of Spain through the project ECO2009-12506. The usual disclaimer applies.