This paper focuses on the ways of maintaining cohesive links in the translation process in the Polish-English language pair. Of primary interest is how the thematic/rhematic structure of Polish sentences can be successfully rendered in English to produce cohesive, natural-sounding and communicative target texts with a proper information flow. These aspects have implications for translation teaching. It has been observed that, in view of the differences between Polish and English word order, university students at the start of their translator training experience two general problems as they attempt to translate longer stretches of text into English: (1) they produce cohesive passages, which contain errors in word order (due to syntactic interference from Polish) or (2) they produce grammatically correct sentences, which, however, form incohesive passages (i.e. ones in which the thematic/rhematic progression is not retained) with an inappropriate information structure. For this reason, students need to become acquainted with some practical solutions that help build cohesion in Polish-English translation. These include (1) shifts from active to passive, (2) other shifts in syntactic functions, (3) fronting, and (4) inventing sentence subjects out of broader context.