This paper presents experiments with document-level machine translation with readabilityconstraints. We describe the task of producing simplified translations from a given source withthe aim to optimize machine translation for specific target users such as language learners. Inour approach, we introduce global features that are known to affect readability into a document-level SMT decoding framework. We show that the decoder is capable of incorporating thosefeatures and that we can influence the readability of the output as measured by commonmetrics. This study presents the first attempt of jointly performing machine translation and textsimplification, which is demonstrated through the case of translating parliamentary texts fromEnglish to Swedish.