Graham Township is a township in Johnson County, Iowa, United States.

Graham Township was organized in 1857. It is named after John Graham, an early settler.

As of the 2020 Census, there were 494 people and 256 households in the community. The population density was 16.30 inhabitants per square mile (6.29 inhabitants/km).

The median age in the city was 53.9 years.

Graham Township vote
by party in presidential elections

Year	Democratic	Republican	Third Parties
2020	62.84% 208	35.65% 118	3.02% 10
2016	56.92% 185	37.54% 122	5.54% 18
2012	61.92% 187	35.43% 107	2.65% 8
2008	63.56% 143	32.89% 74	3.56% 8
2004	56.34% 120	40.38% 86	3.29% 7
2000	61.19% 123	30.85% 62	7.96% 16
1996	59.90% 124	27.05% 56	13.04% 27
1992	49.13% 113	18.70% 43	32.17% 74
1988	79.02% 177	20.98% 47	0.00% 0
1984	65.97% 157	34.03% 81	0.00% 0
1980	51.38% 112	34.40% 75	14.22% 31
1976	61.19% 123	34.83% 70	3.98% 8
1972	56.55% 95	43.45% 73	0.00% 0
1968	55.56% 115	36.71% 76	7.73% 16
1964	70.81% 148	29.19% 61	0.00% 0
1960	62.61% 144	37.39% 86	0.00% 0
1956	65.31% 160	34.69% 85	0.00% 0
1952	53.78% 135	46.22% 116	0.00% 0
1948	63.37% 154	34.98% 85	1.65% 4
1944	64.32% 137	35.68% 76	0.00% 0