| State Senate: | Oklahoma |
| District: | 39th |
| Predecessor: | Dewey Bartlett |
| Successor: | Stephen Wolfe |
| Term Start: | 1966 |
| Term End: | 1972 |
| State House2: | Oklahoma |
| District2: | 70th |
| Predecessor2: | Redistricting |
| Successor2: | Jim Inhofe |
| Term Start2: | 1964 |
| Term End2: | 1966 |
| Party: | Republican Party |
Joseph R. McGraw Jr. (born 1930) is an American politician who served in the Oklahoma House of Representatives from 1964 to 1966 and in the Oklahoma Senate from 1966 to 1972.
Joseph R. McGraw Jr. graduated from the University of Tulsa College of Law in 1959. He founded McGraw Breckinridge Company Realtors in 1965 which was renamed in 1986 to McGraw Davisson Stewart after a merger. He currently owns McGraw Realtors and McGraw Commercial Properties.[1]
McGraw was elected to the Oklahoma House of Representatives in 1964. He retired to run for the Oklahoma Senate in 1966. He was succeeded in the Oklahoma House by Jim Inhofe.[2] He his 1966 senate race and served until 1972.