Dawson is a city in Kidder County, North Dakota, United States. The population was 74 at the 2020 census. Dawson was laid out in 1882 …Dawson is a city in Kidder County, North Dakota, United States. The population was 74 at the 2020 census. Dawson was laid out in 1882 by J. Dawson Thompson, and named for him. A post office has been in operation at Dawson since 1881.