To study the competitive effects of REDROOT PIGWEED (Amaranthus retroflexus) and lambsquarter (Chenopodium album) on potato, an additive experiment was conducted in the spring of 2004 in split-split plot based on randomized complete block design with 4 replications at the Seed Potato Production Station of RAN in Firouzkooh. Treatments were included 2 weed species in main plots (Amaranthus retrot1exus and Chenopodium album), weed density in sub plots (2,66, 5.32 and 10.64 plants per m") and relative time of weed emergence in sub-sub plots (8 and 4 days prior to potato and the same time with potato emergence). Potato, cultivar Agria, was planted in constant density 53000 plants per hectare by row space of 75 cm. To interpret the competitive effects, the Cousens's regression model was used. The results showed that both species of weeds significantly reduced tuber yield. 2, 4 and 8 lambsquarter per meter of row reduced tuber yield 12.8, 22.3 and 27.2 percent, respectively. These values for REDROOT PIGWEED increased to 18, 29.4 and 39.6 percent. Parameters i and a estimated by the model were higher for REDROOT PIGWEED. Parameter "i" for three levels of lambsquarter and REDROOT PIGWEED emergence time were 10.05, 7.95, 4.48 and 19.44, 13.22, 8.86 respectively. Parameter "a" for lambsquarter was estimated 56.99, 48.7 and 31.16. This parameter for REDROOT PIGWEED was 61.92, 52.88 and 48.72. Regarding to these estimation, sooner weed emergence will result more tuber yield. Weeds did not affect mean tuber number per plant significantly. But, mean tuber weight was affect significantly. According to the results of this investigation mean tuber weight is the main factor for potato yield loss.