| Case | Docket No. | Granted | Argued | Decided | Majority Author | Vote |
|---|---|---|---|---|---|---|
| Ake v. Oklahoma | 83-5424 | 11/07/1984 | 02/20/1985 | Thurgood Marshall | 8-1 | |
| Brockett v. Spokane Arcades, Inc. | 84-28 | 02/20/1985 | 06/19/1985 | Byron R. White | 6-2 | |
| United States v. Dann | 83-1476 | 11/05/1984 | 02/20/1985 | William J. Brennan, Jr. | 9-0 | |
| Mountain States Tel. & Tel. Co. v. Santa Ana | 84-262 | 02/20/1985 | 06/10/1985 | John Paul Stevens | 5-3 | |
| United States v. Young | 83-469 | 10/02/1984 | 02/20/1985 | Warren E. Burger | 5-4 | |
| Hooper v. Bernalillo County Assessor | 84-231 | 02/20/1985 | 06/24/1985 | Warren E. Burger | 5-3 | |
| Board Of Trustees Of Scarsdale v. Mccreary | 84-277 | 02/20/1985 | 03/27/1985 | 4-4 | ||
| Shea v. Louisiana | 82-5920 | 11/07/1984 | 02/20/1985 | Harry A. Blackmun | 5-4 |