This study is intended to analyse the phenomenon of negation and the use of pragmatic strategies in two speeches given by Prime Ministers David Cameron and Theresa May before and after the historic Brexit referendum[22]. This study is intended to achieve the following objectives: ‎(a) to investigate the types of negative forms used by two former British prime ministers in two of their speeches; (b) to understand the impact of gender and ideology on the types of negation in ‎political speech; and (c) to examine the impact of certain pragmatic strategies used by two people of different genders within the scope of the phenomenon of negation in building meaning in political discourse. Furthermore, the nature of the study follows the cognitive-social approach. As such, the researcher adopted the social-cognitive model by Van Dijk [1] for the data analysis which will take a quantitative form. The first stage of the analysis is an investigation of the frequency and type of negation used in the two speeches by people of differing genders who were leaders at different times. The second stage examines five pragmatic strategies within the scope of negation to discover the impact of the relationship between knowledge and power as the two prime ministers put their ideas into practice. The results obtained show that the practical effects of political character when using different types of negation do not depend on the variable of gender as much as on the subjective ideology and on whether the context of political discourse can be exploited through the expression of denial or dissatisfaction regarding a specific issue.