Much has been said about the need for resilient energy systems, an issue recently emphasised by the global energy crisis. However, despite policies attempting to bolster household resilience with different forms of financial support, the resilience of households to high energy prices has yet to be defined in the related literature. In this paper we propose a new concept of resilience, specifically ‘energy price resilience’, we put forward an empirical approach to capture low energy price resilience (LENRES) and we assess its associated socio-economic and demographic factors using a representative UK panel: Understanding Society – the UK Household Longitudinal Study. Using models that account for time-invariant unobserved heterogeneity, we also explore the association between LENRES and a set of wellbeing outcomes for adults and children through two fundamental routes: (1) the energy and thermal affordability channel; and (2) the energy and financial solvency channel. We find that employment status, housing tenure, household composition, inability to save or having no access savings and energy prepayment methods are systematically associated with LENRES. Moreover, using a rich set of wellbeing outcomes, we establish that LENRES is associated with lower wellbeing levels for both adults and adolescents. Our findings may aid targeting of government support to the most vulnerable in society.