Purpose: – The purpose of this study is to provide more knowledge about the model to generate reputation and its relationship in the long term with companies’ strategy of social responsibility. Particularly, research is done to test whether there is a positive effect of firms’ social behaviour (corporate social responsibility [CSR]), analysing differences of intensity and consistency, on their corporate reputation (CR) and whether the current financial crisis is a factor that has changed the relationship between both variables (moderator factor).Design/methodology/approach: – This study uses a sample of 26 Spanish large firms of the Ibex35 index and covers an eight-year period from 2004 to 2011. To test the hypotheses of this research, a fixed-effects model was estimated using moderating regression analysis.Findings: – The results obtained show that, for the Spanish Ibex35 companies, CSR practices according to their consistency have a significant positive effect on CR and in turbulent environments, as in the current financial crisis, it has had a significant positive influence on the CSR-CR relationship.Originality/value: – Although a substantial number of empirical studies have examined the relationship between firms’ strategy and their performance, only a few of them have analysed the impact of the external environment on this relationship, whereby there is a need for longitudinal studies with different economic scenarios to achieve better knowledge of the CSR–CR relationship.