Think tanks outside liberal democracies have distinctive features that go beyond the features of the original concept that emerged within the US context. Departing from this empirical observation, we investigate the sources of the organizational power of think tanks in Ukraine as a case of a limited access order (LAO), a social order where privileged individuals maintain discretionary access to societal resources, functions, and institutions. To accomplish this goal, we apply Thomas Medvetz’s analytical concept of a “boundary organization,” which allows us to highlight the hybridity and flexibility of think tanks and thus understand their methods of gaining political access in an LAO. The analysis of interviews with senior representatives of nongovernmental think tanks in Ukraine in 2016–2017 demonstrates that Ukrainian think tanks are resourceful and find indirect ways of influencing politics. These organizations publish their reports in the media and deliver assessments of Ukraine’s international commitments to the country’s donors, thereby indirectly influencing the policy process in the country. Ukrainian think tanks also comply with the expectations of a boundary organization, accumulating and converting economic, academic, and media capital into political capital, using advocacy and networking as conversion tools. One important difference between the expectations of Medvetz’s framework and our findings is that political capital seems to be the goal of think tank activity, while the three other types are used merely instrumentally.