Brexit has a profound effect on the UK, the EU, even the whole world. The reference of Xin Bin's specific intertextuality framework is used as a proper approach to analyzing Brexit speeches delivered by David Cameron, Theresa May, and Boris John-son—the predecessors and the present UK Prime Minister. Through analyzing, it is identified that the Prime Ministers share a sim-ilar attitude to the value proposition of Brexit, but have both similarities and differences in their thoughts of Brexit policies and fu-ture directions after Brexit. The research takes an integral analysis of Brexit, and hence provides a new perspective.