A model of sentence production is presented, which imple-ments a strategy that produces sentences with more uniformsurprisal profiles, as compared to other strategies, and in accor-dance to the Uniform Information Density Hypothesis (Jaeger,2006; Levy & Jaeger, 2007). The model operates at the al-gorithmic level combining information concerning word prob-abilities and sentence lengths, representing a first attempt tomodel UID as resulting from underlying factors during lan-guage production. The sentences produced by this modelshowed indeed the expected tendency, having more uniformsurprisal profiles and lower average word surprisal, in compar-ison to other production strategies.