Jim Palmer grabbed his most rebounds in a game on January 15, 1961, on November 21, 1959 and on November 9, 1958, with 13 rebounds.
| NAME | REB | DATE | TM | OPP | MIN | PTS | AST | STL | BLK | TOV | FGM | FGA | FG% | 3PM | 3PA | 3P% | FTM | FTA | FT% | PF | +/- | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
 | Jim Palmer | 13 | 1/15/1961 |  NYK | @ |  BOS | 21 | 18 | 2 | 9 | 21 | 42.9 | 0 | 0 | 4 | ||||||||
 | Jim Palmer | 13 | 11/21/1959 |  CIN | vs |  MIN | 19 | 8 | 3 | 5 | 60.0 | 3 | |||||||||||
| | Jim Palmer | 13 | 11/9/1958 | CIN | vs |  PHI | 20 | 0 | 8 | 14 | 57.1 | 4 | 5 | 80.0 | 5 | ||||||||
| | Jim Palmer | 12 | 2/25/1960 | NYK | @ | PHI | 27 | 5 | 12 | 20 | 60.0 | 3 | 5 | 60.0 | 0 | ||||||||
| | Jim Palmer | 12 | 1/13/1959 | CIN |  DET | 23 | 14 | 3 | 6 | 50.0 | 8 | 8 | 100.0 | 2 | |||||||||
| | Jim Palmer | 12 | 12/7/1958 | CIN | vs | PHI | 17 | 1 | 6 | 21 | 28.6 | 5 | 6 | 83.3 | 3 | ||||||||
| | Jim Palmer | 12 | 11/1/1958 | CIN | @ |  SYR | 14 | 6 | 2 | 2 | 100.0 | 4 | |||||||||||
| | Jim Palmer | 11 | 10/30/1959 | CIN | vs | SYR | 18 | 6 | 6 | 9 | 66.7 | 3 | |||||||||||
| | Jim Palmer | 11 | 2/24/1959 | CIN | SYR | 29 | 24 | 1 | 8 | 14 | 57.1 | 8 | 9 | 88.9 | 4 | ||||||||
| | Jim Palmer | 11 | 2/8/1959 | CIN | @ | BOS | 25 | 12 | 6 | 13 | 46.2 | 0 | 0 | 1 | |||||||||
| | Jim Palmer | 11 | 1/27/1959 | CIN | PHI | 8 | 1 | 3 | 10 | 30.0 | 2 | 3 | 66.7 | 4 | |||||||||
| | Jim Palmer | 11 | 12/30/1958 | CIN | vs |  STL | 32 | 9 | 3 | 15 | 20.0 | 3 | 7 | 42.9 | 2 | ||||||||
| | Jim Palmer | 10 | 1/25/1961 | NYK | STL | 35 | 15 | 7 | 15 | 46.7 | 1 | 2 | 50.0 | 5 | |||||||||
| | Jim Palmer | 10 | 2/20/1960 | NYK | SYR | 12 | 2 | 6 | 14 | 42.9 | 0 | 2 | 0.0 | 6 | |||||||||
| | Jim Palmer | 10 | 1/6/1960 | NYK | CIN | 9 | 0 | 3 | 5 | 60.0 | 3 | 5 | 60.0 | 0 | |||||||||
| | Jim Palmer | 10 | 11/22/1959 | CIN | vs | STL | 14 | 5 | 4 | 5 | 80.0 | 3 | |||||||||||
| | Jim Palmer | 10 | 3/10/1959 | CIN | vs | PHI | 14 | 0 | 2 | 7 | 28.6 | 10 | 12 | 83.3 | 2 | ||||||||
| | Jim Palmer | 9 | 10/17/1959 | CIN | @ | BOS | 26 | 4 | 1 | 6 | 16.7 | 2 | 2 | 100.0 | 5 | ||||||||
| | Jim Palmer | 9 | 2/3/1959 | CIN | vs | PHI | 21 | 2 | 8 | 14 | 57.1 | 5 | 8 | 62.5 | 6 | ||||||||
| | Jim Palmer | 9 | 12/12/1958 | CIN | @ | BOS | 32 | 6 | 3 | 13 | 23.1 | 0 | 0 | 3 | |||||||||
| | Jim Palmer | 8 | 2/21/1960 | NYK | vs | PHI | 15 | 0 | 5 | 17 | 29.4 | 5 | 5 | 100.0 | 2 | ||||||||
| | Jim Palmer | 8 | 12/26/1959 | NYK | @ | PHI | 11 | 2 | 5 | 11 | 45.5 | 1 | 3 | 33.3 | 5 | ||||||||
| | Jim Palmer | 8 | 11/15/1959 | CIN | vs | BOS | 22 | 9 | 4 | 7 | 57.1 | 4 | |||||||||||
| | Jim Palmer | 8 | 11/11/1959 | CIN | @ | BOS | 12 | 5 | 2 | 2 | 100.0 | 2 | |||||||||||
| | Jim Palmer | 8 | 3/7/1959 | CIN | @ | PHI | 13 | 1 | 3 | 11 | 27.3 | 7 | 8 | 87.5 | 3 | ||||||||
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