This article applies the lessons from the prior theory of responsive regulation in criminology to EU competition law and extends these lessons to argue in favour of an enhanced form of responsive competition law. First, it finds that EU competition law enforcement is already responsive in the traditional sense as it takes the reactions of undertakings into account when deciding which instrument to apply, in accordance with the enforcement pyramid developed by Braithwaite. An enforcement pyramid for EU competition law is presented. The objectives of competition law are found to be broad, and its key norms are open, facilitating responsiveness. This also allows competition law to develop to meet new societal demands, such as the need to control market power in the digital realm and to combat climate change. Next, the article examines the role of responsive and accountable behaviour by undertakings in competition law. First, it is found that in line with new forms of regulation concerning non-financial reporting, greenwashing, data protection, digital markets and services, and artificial intelligence, the special responsibility of dominant undertakings in competition law increasingly demands a pro-active approach to compliance. This also involves considering the interests of third parties and framing private governance in accordance with fundamental rights and legal principles. An enhanced degree of responsiveness of dominant undertakings results. Second, additional space is being created within competition law to accommodate undertakings that behave in a socially responsible manner, notably regarding sustainability. This is examined in relation to the issue of a fair share for consumers, and private enforcement by means of compliance agreements. After discussing potential objections to responsiveness in terms of democratic legitimacy, legal certainty, and redistribution of wealth, the article concludes that the developments sketched above indeed point towards the reinforcement of the responsive nature of competition law.