The public is increasingly relying on Twitter for climate change information; however, to date, this social media platform is poorly understood in terms of how climate change information is shared. This study evaluates discussions on Twitter during the 2015 United Nations Conference on Climate Change (COP21) to elucidate the social media platform’s role in communicating climate change information. For a five-day period, links embedded in a sample of tweets containing “#climatechange” were characterized, Twitter users were classified by the types of links they typically shared, and their degree centralities (the number of connections for each user) were measured. There was little skeptical content across all user categories; however, news links were more likely than non-news to contain content that is skeptical of climate change. Users who typically shared skeptical news links and users who typically shared non-skeptical non-news links exhibited a relatively high number of connections with other users.