Acrylonitrile-Butadiene-Styrene (ABS) is a polymer of great industrial use, being used in numerous products. Many of its applications require a high resistance to combustion, either due to the presence of electrical charges (Joule Effect) or exposure to high temperature environments. However, ABS, like most polymers, is not as resistant to combustion, requiring the use of Flame Retardant (RC) additives. The introduction of these additives can, however, lead to changes in the mechanical properties, so it is necessary to compare the behavior of the material with and without additives. Particularly important is long-term behavior such as fluency. Thus, in this work, the creep behavior of ABS without additive and of three ABS/RC systems was evaluated. A system employing a commercial bromine-based additive (ABS − Br) was used, which served as a basis for comparison and two recently developed systems employing bio-retardants, namely: tannic acid (TA) and ammonium polyphosphate (APP) . The test results showed that the commercial additive did not cause a change in creep life compared to ABS without additive. On the other hand, the results indicated that the creep life was reduced when the APP additive was incorporated and that it increased when the TA was added. Experimental data from creep tests were used to evaluate the viscoelastic behavior of the four groups of materials. ABS had its behavior adequately represented by the Burgers model, as well as ABS with bromine-based additive. The model that best described the behavior of ABS with APP was the modified Burgers model (Streched Burgers). Not all ABS samples with TA showed fluence in the time interval used and the model that best described the behavior was the standard linear solid.