Year | Most Valuable Player Award | Golden Arm Award | Topps Rookie of the Year Award | Tums Reliever of the Year Award | 1980 PBL | Rickey Henderson (PHI) | Bert Blyleven (PHI) | Dave L Stapleton (BOS) | Bruce Sutter (BOS) | | .371/.436/.497, 11 HR, 9.4 WAR | 19-9, 2.82 ERA, 274.1 IP, 5.4 WAR | .278/.317/.399, 7 HR, 2.5 WAR | 5-5, 33 SV, 2.25 ERA, 2.4 WAR | 1981 PBL | Rickey Henderson (2 ) (PHI) | Steve Rogers (MON) | Kirk Gibson (CLE) | Joe Sambito (PHI) | | .351/.430/.474, 10 HR, 11.0 WAR | 15-4, 1.98 ERA, 186.1 IP, 4.4 WAR | .306/.336/.422, 12 HR, 6.2 WAR | 5-7, 33 SV, 1.91 ERA, 2.5 WAR | 1982 PBL | Rickey Henderson (3 ) (PHI) | Steve Carlton (BOS) | Gary Ward (CHA) | Lee Smith (CLE) | | .347/.446/.486, 12 HR, 8.9 WAR | 22-9, 3.04 ERA, 260.1 IP, 6.5 WAR | .284/.323/.469, 23 HR, 2.3 WAR | 5-6, 31 SV, 2.95 ERA, 1.9 WAR | 1983 PBL | Robin Yount (NYY) | Fernando Valenzuela (3 ) (HOU) | Jay Clarke (SEA) | Kent Tekulve (BOS) | | .288/.337/.494, 21 HR, 6.9 WAR | 19-7, 2.36 ERA, 274.2 IP, 7.4 WAR | .312/.402/.470, 9 HR, 5.7 WAR | 4-4, 18 SV, 2.14 ERA, 1.8 WAR | 1984 PBL | Fernando Valenzuela (2 ) (HOU) | Fernando Valenzuela (4 ) (HOU) | Doug Rader (SEA) | () | | 29-8, 1.86 ERA, 344.1 IP, 12.3 WAR | 29-8, 1.86 ERA, 344.1 IP, 12.3 WAR | .294/.337/.491, 22 HR, 2.6 WAR | | 1985 PBL | Dale Murphy (HOU) | Frank Tanana (HOU) | Greg Gagne (HOU) | Jay Howell (PHI) | | .322/.390/.509, 22 HR, 5.2 WAR | 22-6, 2.75 ERA, 265.0 IP, 4.6 WAR | .282/.327/.462, 4 HR, 1.6 WAR | 4-7, 9 SV, 5.29 ERA, 0.5 WAR | 1986 PBL | Tim Raines Sr (PHI) | Jack McDowell (SDP) | Jorge Posada (CLE) | Rich Gossage (HOU) | | .357/.422/.545, 11 HR, 8.2 WAR | 20-11, 2.15 ERA, 280.2 IP, 7.8 WAR | .291/.381/.445, 14 HR, 5.3 WAR | 3-4, 26 SV, 2.55 ERA, 0.6 WAR | 1987 PBL | Ellis Burks (KCM) | Roger Clemens (MON) | Edgardo Alfonzo (SDP) | Dennis Eckersley (MON) | | .346/.404/.494, 12 HR, 6.8 WAR | 21-11, 2.78 ERA, 297.1 IP, 8.6 WAR | .321/.349/.490, 10 HR, 5.3 WAR | 6-8, 28 SV, 1.81 ERA, 1.6 WAR | 1988 PBL | Travis Hafner (SEA) | Lefty Grove (PIT) | Mike Tiernan (SEA) | Mark W Davis (NYY) | | .364/.446/.561, 16 HR, 6.9 WAR | 15-14, 2.82 ERA, 261.2 IP, 8.9 WAR | .331/.405/.486, 8 HR, 3.0 WAR | 2-4, 8 SV, 4.68 ERA, 1.1 WAR | 1989 PBL | () | () | () | () | | | | | | 1990 PBL | Mike Tiernan (SEA) | Roger Clemens (2 ) (MON) | Carlos Sanchez (MON) | Joe Gibbon (SEA) | | .337/.440/.497, 12 HR, 8.7 WAR | 21-10, 2.20 ERA, 294.1 IP, 9.0 WAR | .271/.318/.398, 7 HR, 4.1 WAR | 5-5, 16 SV, 3.38 ERA, 0.6 WAR | 1991 PBL | Miguel Cabrera (HOU) | Lefty Grove (2 ) (PIT) | Jimmy T Williams (HOU) | Lee Smith (2 ) (CLE) | | .357/.433/.630, 42 HR, 6.4 WAR | 25-11, 3.34 ERA, 331.0 IP, 9.7 WAR | .357/.433/.608, 32 HR, 6.2 WAR | 6-3, 14 SV, 2.45 ERA, 1.1 WAR | 1992 PBL | Edgardo Alfonzo (SDP) | Al Orth (BOS) | Al Orth (BOS) | Monty Montgomery (BOS) | | .339/.425/.656, 49 HR, 8.9 WAR | 21-6, 2.94 ERA, 253.2 IP, 7.3 WAR | 21-6, 2.94 ERA, 253.2 IP, 7.3 WAR | 10-5, 23 SV, 2.96 ERA, 2.8 WAR | 1993 PBL | Chuck Knoblauch (SEA) | Lefty Grove (3 ) (PIT) | Jim Fregosi (BOS) | Bob Locker (SDP) | | .345/.436/.523, 16 HR, 8.4 WAR | 16-14, 2.44 ERA, 240.0 IP, 8.7 WAR | .329/.389/.543, 20 HR, 7.9 WAR | 4-1, 34 SV, 1.53 ERA, 2.7 WAR | 1994 PBL | Miguel Cabrera (2 ) (HOU) | Van Mungo (PHI) | David Wright (NYY) | Lynn Brenton (TEX) | | .356/.424/.683, 56 HR, 9.5 WAR | 20-6, 2.91 ERA, 253.2 IP, 8.4 WAR | .294/.353/.461, 21 HR, 3.3 WAR | 10-7, 24 SV, 2.58 ERA, 4.2 WAR | 1995 PBL | Bryce Harper (NYY) | Van Mungo (2 ) (PHI) | Kris Bryant (CLE) | Octavio Dotel (PIT) | | .345/.437/.646, 48 HR, 9.0 WAR | 22-3, 2.54 ERA, 241.1 IP, 6.2 WAR | .324/.390/.613, 41 HR, 6.9 WAR | 7-3, 15 SV, 2.37 ERA, 1.0 WAR | 1996 PBL | David Wright (NYY) | Christy Mathewson (CLE) | Josh Hamilton (BOS) | Lynn Brenton (2 ) (TEX) | | .308/.365/.584, 44 HR, 8.2 WAR | 18-7, 3.08 ERA, 242.1 IP, 7.7 WAR | .295/.347/.565, 39 HR, 4.8 WAR | 9-6, 34 SV, 1.91 ERA, 2.6 WAR | 1997 PBL | Elmer Flick (PHI) | Christy Mathewson (2 ) (CLE) | Andy Seminick (NYY) | Boone Logan (HOU) | | .306/.401/.557, 35 HR, 6.2 WAR | 17-10, 2.25 ERA, 231.2 IP, 7.2 WAR | .254/.356/.433, 17 HR, 3.1 WAR | 6-2, 13 SV, 2.03 ERA, 1.6 WAR | 1998 PBL | Adam Dunn (PIT) | Jim Bunning (TAM) | Jim Bunning (TAM) | Sean Doolittle (HOU) | | .304/.426/.618, 53 HR, 7.5 WAR | 17-8, 3.09 ERA, 221.1 IP, 5.5 WAR | 17-8, 3.09 ERA, 221.1 IP, 5.5 WAR | 8-5, 33 SV, 1.75 ERA, 3.2 WAR | 1999 PBL | Bobby Veach (NYY) | Hal Newhouser (TAM) | Albert Pujols (TEX) | Boone Logan (2 ) (HOU) | | .377/.440/.697, 45 HR, 8.8 WAR | 18-1, 2.44 ERA, 195.2 IP, 5.1 WAR | .313/.386/.526, 25 HR, 5.3 WAR | 7-3, 5 SV, 1.05 ERA, 1.5 WAR | | | | | | |