| Postseason: |
Lost World Series (4-3) to Pittsburgh Pirates Won AL Championship Series (3-1) over California Angels |

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Transactions listed are from November 1 of previous year to April 1 of the following year.
October 20, 1978
Released Mike Anderson.
November 2, 1978
Al Bumbry granted Free Agency.
November 27, 1978
Selected John Lowenstein off waivers from the Texas Rangers.
November 29, 1978
Signed Steve Stone as a free agent.
December 4, 1978
Drafted Jeff Schneider from the Philadelphia Phillies in the 1978 rule 5 draft.
December 21, 1978
Sold Steve Lake to the Milwaukee Brewers.
January 16, 1979
Traded Mike Dimmel to the St. Louis Cardinals. Received Benny Ayala.
January 17, 1979
Released Nelson Briles.
January 30, 1979
Signed Al Bumbry as a free agent.
March 26, 1979
Released Ellie Hendricks.
April 6, 1979 (Standings)
Sold Kim Allen to Maracaibo (Inter-American).
June 5, 1979 (Standings)
Traded Larry Harlow to the California Angels. Received Floyd Rayford and cash.
Drafted Bob Melvin in the 3rd round of the 1979 amateur draft, but did not sign the player.
Drafted Allan Ramirez in the 5th round of the 1979 amateur draft.
Drafted Storm Davis in the 7th round of the 1979 amateur draft.
Drafted Rod Booker in the 10th round of the 1979 amateur draft, but did not sign the player.
Drafted Bill Swaggerty in the 26th round of the 1979 amateur draft.
Drafted Glenn Davis in the 31st round of the 1979 amateur draft, but did not sign the player.
Drafted Kevin Gross in the 32nd round of the 1979 amateur draft, but did not sign the player.
June 6, 1979 (Standings)
Traded Dennis Blair to the San Diego Padres. Received Randy Fierbaugh (minors).
June 26, 1979 (Standings)
Signed John Stefero as an amateur free agent.
July 15, 1979 (Standings)
Purchased Larry Johnson from Miami (Inter-American).
August 30, 1979 (Standings)
Selected Bob Molinaro off waivers from the Chicago White Sox.
September 1, 1979 (Standings)
Signed Ellie Hendricks as a free agent.
October 3, 1979 (Standings)
Bob Molinaro selected by the Chicago White Sox off waivers.
November 1, 1979
Don Stanhouse granted Free Agency.
December 3, 1979
Andres Mora drafted by the Cleveland Indians in the 1979 rule 5 draft.
December 4, 1979
Nate Snell selected by the San Francisco Giants in the 1979 minor league draft.
December 6, 1979
Traded John Flinn to the Milwaukee Brewers. Received Lenn Sakata.
December 7, 1979
Traded Tom Chism to the Minnesota Twins. Received Dan Graham.
1980
Signed Larry Anderson as a free agent.
January 11, 1980
Drafted Mike Young in the 1st round (11th pick) of the 1980 amateur draft (January Secondary).
Drafted Ed Wojna in the 6th round of the 1980 amateur draft (January), but did not sign the player.