Forerunners of Córdoba Club de Fútbol included names such as Sporting Fútbol Club de Córdoba, Sociedad Deportiva Electromecánicas and Racing Fútbol Club de Córdoba. The latter changed its name after the Spanish Civil War (as foreign names were banned under the new regime) to Club Deportivo Córdoba.
From 1940 the club met varying success, spending most of its time in the second and third divisions of Spanish football. In 1944 it changed its home kit to green and white stripes, from the previous one of all white, and, the following year, Córdoba moved from Estadio America to Estadio del Arcángel; in the 1953–54 season the team found itself in the third level alongside CD San Álvaro de Córdoba and, at the end of the campaign, the clubs merged.
In the early 1960s and also in 1971–72, Córdoba amassed eight La Liga seasons. In its third presence it only conceded two goals at home as it went undefeated, the first being courtesy of Espanyol's Alfredo Di Stéfano. The club finished 5th, its best finish to date, but was not allowed to enter the following season's UEFA Cup due to city infrastructure issues.
In the following four decades Córdoba again fluctuated between divisions two and three, also spending 1984–85 in the fourth.
On 17 February 2014, former Spanish international Albert Ferrer was hired as Córdoba manager. He led the team to a 7th-place finish, and then Córdoba defeated Las Palmas in the Segunda División play-off final to return to the top flight for the first time in 42 years. Ulises Dávila scored the decisive goal, a late equaliser in the away second leg, after Las Palmas fans had caused ten minutes to be added onto the game by invading the pitch. Córdoba returned to the second tier after one season in the top flight, their relegation confirmed with three games remaining after a 0–8 home defeat against FC Barcelona.
Córdoba currently plays at the Estadio Nuevo Arcángel, opened in 1993. Since 2004 the stadium is going through a remodelling converting it to a pure football stadium. Three of the four sides have currently been rebuilt. When the fourth stand is rebuilt the capacity will be 25,100 seats.