This research was carry out at the Forestry Department of the Federal University of Viçosa. The objective was to evaluate the germination of Eucalyptus citriodora and Eucalyptus grandis seeds when submitted to priming with poliethylene glycol (PEG 6000) at potentiais of 0,0; -0,2; 0,4; and -0,6 MPa with and without air dry for three periods of time (0, 15 and 30 days) and two temperatures (5 and 20°C), tested on factorial design. The data analysis and the result interpretation allowed to conclude that the seeds percentage of emergence and the degree of humidity clearly decreased as the osmotic potential increased. Priming is effective to E. citriodora, when the seed viability is less than 70,75%. The positive response of E. grandis seeds to priming was restricted only to those air-dried and stored for 30 days, at 20°C. Generally, the best conservation of both species can be achieved when they are not air dríed, afler priming and are stored at 5°C.