What explains how the public views government responses to hostage crises? Existing research has explored how incident-level factors shape public opinion of hostage recovery, but we know less about which Americans support recovery – and why. In this article, we explore how individual-level factors shape public support for bringing captives home. We argue that support for hostage recovery reflects partisan, ideological, and emotional factors. Drawing on two large, national surveys of the American public, we show how Americans’ partisanship, broader foreign policy attitudes, and other personal traits predict willingness to support a range of hostage recovery activities, including negotiations, ransom payment, prisoner exchanges, and military rescue missions. We find that foreign policy internationalists are much more likely to support recovery compared to isolationists, though ‘militant’ and ‘cooperative’ internationalists prefer different recovery options. While broad, bipartisan majorities support recovery efforts, Republicans are significantly less supportive of making concessions to bring captive Americans home – partisan differences that are exacerbated when recovery is proposed by an out-party president. Finally, we show that respondents with children are more supportive of recovery than non-parents, a result we attribute to the emotional pleas made by captives’ parents. This paper explores the domestic politics of international threat, revealing the individual determinants of support for recovery.