In the context of intelligent power consumption, household users can promote the safe, stable and economic operation of the power system by participating in electricity demand response and obtain additional benefits. Therefore, a strategy for demand response based on family agglomeration is proposed in this paper. Firstly, the concept of family clustering is proposed to manage the aggregation of residents' families into communities and to design the response mechanism on the residents' side. Secondly, considering the residents' electricity consumption habits and influencing factors during demand response, the responding load function of household electricity consumption is constructed, which quantifies the potential of household demand response. On this basis, a response strategy is designed which takes both the degree of completion and user experience into account. Finally, three specific indicators are proposed to evaluate the response strategy, namely task completion rate, user discomfort and economic benefits. An example is given to verify the effectiveness and economy of the proposed strategy.