We introduce the Computational Linguistics special issue on Multilingual and Interlingual Semantic Representations for Natural Language Processing. We situate the special issue’s five articles in the context of our fast-changing field, explaining our motivation for this project. We offer a brief summary of the work in the issue, which includes developments on lexical and sentential semantic representations, from symbolic and neural perspectives.MRC is supported in part by a Google Faculty Research Award 2018, Spanish Ministerio de Economía y Competitividad, the European Regional Development Fund and the Agencia Estatal de Investigacion, through the postdoctoral senior grant Ramon y Cajal, the contract TEC2015-69266-P (MINECO/FEDER,EU) and t...