Resumen: With firm data from the Spanish Community Innovation Survey (CIS) for the period 2003-2014, we find a positive and significant effect of innovation in the demand for labor when firms introduce product and process innovations in the same time period. The effect of innovation on the demand for labor is countercyclical, higher in the recession, after 2008, than in the expansion, before 2008, but the probability that firms innovate in product and process is counter-cyclical, i.e. lower in the recession. Altogether, the elasticity of the demand for labor to the probability that firms introduce product and process innovations remains stable throughout the sample period, at around 0.035. Innovation contributes to stabilize average employment during the cycle, more so when the innovation is in product, alone or together with process, than when it is only in process. These results are broadly consistent with product and process innovations shifting firms'' demand and production functions upwards, but differentially in expansions (less product market competition) than in contractions (more competition). Idioma: Inglés DOI: 10.1080/10438599.2019.1629535 Año: 2019 Publicado en: Economics of innovation and new technology 29, 4 (2019), 417-440 ISSN: 1043-8599 Factor impacto JCR: 1.563 (2019) Categ. JCR: ECONOMICS rank: 167 / 371 = 0.45 (2019) - Q2 - T2 Factor impacto SCIMAGO: 0.923 - Management of Technology and Innovation (Q1) - Economics, Econometrics and Finance (miscellaneous) (Q1)