There is a low but uncertain probability that climate change could trigger "mega-catastrophes," severe and at least partly irreversible adverse effects across broad regions. This paper first discusses the state of current knowledge and the defining characteristics of potential climate change mega-catastrophes. While some of these characteristics present difficulties for using standard rational choice methods to evaluate response options, there is still a need to balance the benefits and costs of different possible responses with appropriate attention to the uncertainties. To that end, the authors present a qualitative analysis of three options for mitigating the risk of climate mega-catastrophes - drastic abatement of greenhouse gas emissions, development and implementation of geoengineering, and large-scale ex ante adaptation - against the criteria of efficacy, cost, robustness, and flexibility. They discuss the composition of a sound portfolio of initial investments in reducing the risk of climate change mega-catastrophes.