The present research aims to investigate the effect of the addition of discrete polypropylene and curauá fibers on the early age autogenous and drying shrinkage and basic creep in compression in cement pastes. The length of the polypropylene and curauá fibers was 12 mm and the volume fraction varied from 0.03 to 0.30 percent of the mass content of cement. The cement pastes had water to cement ratio (w/c) of 0.44. Autogenous shrinkage tests were carried out following the Corrugated Tube Method, monitoring the length changes since casting. The evaluation of free drying shrinkage was given by measuring the length changes during the first days of age. The ring test method was used to determine the age when cracking occurred. The crack opening of the samples was also monitored by a microscope. Compressive creep tests were performed with cylindrical specimens to determine the early age creep strain. A significant reduction of the autogenous shrinkage was observed in the specimens with 0.30 perent of curauá fibers. The addition of both fibers slightly reduced the free drying shrinkage of the specimens and the fiber content did not appear to influence significantly the shrinkage behavior of the specimens. A delay in the development of cracks and a reduction in crack opening for specimens with both fibers were also observed. This behavior was similar for all fiber content. Pastes reinforced with fibers exhibited, overall, a slight improvement in creep strain. The addition of 0.30 percent of polypropylene fibers showed greater improvement in creep strain.