Measuring the intensity of competition for forage between livestock and wild herbivores is important for improving the compensation system of wildlife damage and promoting harmonious human-wildlife coexistence. Using indictors including forage yield, livestock number, and wild herbivores population size, and a combination of grassland quadrat, wildlife transect line survey, and model simulation tools, this study proposed a method to measure the intensity of competition for forage between grazing livestock and wild herbivores, and evaluated the intensity of competition in Maduo County, where more than 3/4 of the county area is within the Sanjiangyuan National Park. The results show that: 1) The population densities of Tibetan wild ass (Equus kiang) and Tibetan gazelle (Procapra picticaudata) in Maduo County were 0.2157 and 0.1655 head/km2, respectively, and their numbers were 5307 and 4073, respectively, in total equivalent to 23264 sheep units (SU), according to the transect line survey in 2022 and random forest model simulation. The number of grazing livestock at the end of 2018 was 342000 SU, and the relative intensity of competition for forage between livestock and wild herbivores was 1/14.7. 2) The edible forage yield of alpine meadow and alpine steppe in Maduo County was 118.7 and 88.3 g/m2, respectively, and the carrying density was 0.2710 and 0.1532 SU/hm2, respectively. The theoretical carrying capacity of grasslands in the county was 528500 SU. The stocking rates of livestock, herbivorous wildlife, and livestock + herbivorous wildlife were 64.7%, 4.4% and 69.1%, respectively. 3) In the townships within the Sanjiangyuan National Park, the stocking rate of domestic livestock was low, the stocking rate of wild herbivores was high, and there was a potential for the grassland to support more wild herbivores, but the relative intensity of competition for forage between livestock and wild herbivores was high. It is recommended to relocate herders from the national park and improve the compensation system for wildlife damage within the national park and surrounding areas. In the townships outside the national park, overgrazing was serious, the stocking rate of livestock was very high, while the intensity of competition for forage between livestock and wild herbivores was not high, therefore it is recommended to reduce domestic livestock and increase the efficiency of animal husbandry.