1985–86 Houston Rockets season Draft picks Draft picks

| Round | Pick | Player | Nationality | College |
|---|---|---|---|---|
| 1 | 19 | Steve Harris | United States | Tulsa |
| 3 | 54 | Sam Mitchell | United States | Mercer |
| 3 | 57 | Michael Payne | United States | Iowa |
| 4 | 88 | Mike Brooks | United States | Tennessee |
| 6 | 134 | Sam Potter | United States | Oral Roberts |