In order to develop new approaches to the reduction of the coefficient of thermal expansion (CTE) in HDPE, a thermoplastic polymer widely used in geomembranes where its high CTE contributes to the reduction of his performance, in the form of layered titanates nanosheets were tested for the first time as additives with this function. Titanates nanosheets were synthesized from hydrothermal treatment of alkaline ilmenitic sands and were funcionalizated with vinyl trimethoxy silane (VTMS), to improve compatibility with the HDPE matrix, or organofilizated with dimethyl dioctadecyl amonio chloride (2C18), to promote the exfoliation/intercalation of these nanofiller in the polymer. Subsequently, these modified nanofiller were characterized by infrared spectroscopy, thermogravimetry, surface area analysis, CHN analysis, x-ray diffraction and transmission electron microscopy. The nanocomposites were manufactured by microextrusion and microinjection with mass percentages of 0,5 percent to charge 10 percent, in weigth, denominated series VTMS, reactive VTMS and 2C18. Finally the nanocomposites were characterized by tensile, thermogravimetry, dilatometry and transmission electron microscopy. The results obtained in the characterization of nanosheets allowed to check the incorporation of VTMS on the surface by means of primary links. The modifications with 2C18 was performed for the first time this type of material, as was conferred by x-ray diffraction by the increase in the distance interlamelar spacing. The series BRANCA and VTMS presented an increase in modulus of elasticity and ductility, however the voltage in outlets increased only to composite with 0,5 percent BRANCA and series for the composite with 2 percent VTMS series. VTMS series reactive and 2C18 showed a reduction in ductility and modulus. The tension in the flow increased to the series VTMS Reactive composite 0,5 percent, decreased to the composites 2 and 0,5 percent 2C18 series and remained similar to HDPE for the other composites of these series. Composite who presented best properties was the VTMS 2 percent with an increase around 14 percent in modulus, approximately 3 percent on voltage in outlets and approximately 16 percent on ductility. The addition of nanofolhas did not alter significantly the thermal stability properties of the array and fell of the CET for the series VTMS 2 percent. The degree of crystallinity ranged showing maximum increase of approximately 14 percent on 0,5 percent VTMS series and maximum reduction of approximately 20 percent in 2 percent 2C18 series.