This article presents the contribution that critical discourse analysis (CDA) can make to critical policy studies through comparison with two other approaches which also advocate a ‘discursive turn’ in policy studies and that have been discussed in the journal: cultural political economy (CPE), and poststructuralist discourse analysis (PDA). I suggest that there are significant differences between CDA, CPE and PDA in their view of the discursive turn, and that a version of CDA which integrates argumentation theory and analysis with CDA can add significantly to the contributions that CPE and PDA might make to policy analysis. In the Conclusion, I address a suspicion that using argumentation analysis entails a commitment to Habermasian/Rawlsian ‘deliberative democracy,’ suggesting that argumentation analysis is also not only consistent with but also necessary for Gramscian approaches to political and policy analysis, including CPE and PDA.