Energy efficiency improvements reduce the costs of energy services, and under some circumstances, increase the available income. This generates an additional increase of consumption of goods and services that need additional energy to be produced, distributed and consumed. This effect is known as indirect rebound effect. However, beyond this additional increase of global energy consumption, there is also a variation of the use of other resources for the same reason. So, after an energy efficiency improvement there is an indirect effect on other resources use that have to be considered. This is effect, named as direct and indirect cross rebound effect is not considered by academia nor policy-making when designing and implementing energy policies. This research shows a methodology to estimate this effect, and provides estimates for Spain. Results show that an energy efficiency could increase the use of minerals and water, while reducing the use of energy, fossil fuels and metal ores. These reductions, however, are lower than the expected ones from an input-output perspective, leading to positive direct and indirect cross rebound effects.