The club was founded on 12 September 2014, with the aim to be a completely professional women's football team. The name Tacón is an acronym: Trabajo Atrevimiento Conocimiento Organización Notoriedad. In their first competitive season, 2015–16, the club only registered an under-14 team. On 24 June 2016, Tacón announced the merge with CD Canillas for incorporating their women's senior and under-19 teams. After only three seasons in Segunda División, on 19 May 2019, Tacón achieved promotion for the first time ever to Primera División. On 25 June 2019, the Real Madrid board of directors announced a proposal of integrating Tacón as their women's football section to be presented to their socios. As part of the agreement, Tacón would play their 2019–20 season matches at Ciudad Real Madrid during the transition, with the merger being officially completed on 1 July 2020. On 15 September 2019, The Extraordinary General Assembly of Real Madrid approved the absorption of the club. The merger marked a successful end to a journey that Ana Rossell, a socio at Real Madrid, began a decade earlier; bearing similarities with the role Lola Romero played in the rebirth of Atlético Madrid's women's football section.
Having been promoted, the club went on to lose a large majority of its playing squad in the summer of 2019. Argentine midfielder Ruth Bravo moved to Rayo Vallecano, while others like Lixy, Marbel Okoye and Yamilla Badell did not have their contracts renewed. In order to strengthen for the coming season, the club saw the arrival of Swedish duo Kosovare Asllani and Sofia Jakobsson; French midfielder Aurélie Kaci from Atlético Madrid, Ainoa Campo from crosstown rivals Madrid CFF, English forward Chioma Ubogagu, goalkeeper Ana Valles, Nigerian defender Osinachi Ohale, as well as the Brazilian pair Daiane and Thaisa Moreno, who was nominated for best midfielder in her lone year at A.C. Milan Women. The last signing of the summer was versatile defender Babett Peter from VFL Wolfsburg. Despite the wealth of talent and experience at their disposal, CD Tacón's start to the season was nothing short of abysmal, with heavy losses against Barcelona, in its debut match, and EDF Logroño particularly standing out. After a poor run with just one win in nine games, the team started to gain a sense of stability in November 2019, going on a five match unbeaten run. Spurred by the growing interest in women's football – more so in the United States after their latest World Cup triumph in 2019 – the Los Angeles based film and TV production company EXILE Content and Spanish media company Newtral announced a documentary series about the genesis of the first-ever women's football team at Real Madrid.
2020–present: Real Madrid
On 1 July 2020, Real Madrid released an official communication confirming the completion of the merger, thereby signalling the complete absorption of CD Tacón, which would then operate as 'Real Madrid' from that date onwards.
Home ground
While many speculated that they would share the Estadio Alfredo di Stéfano with Real Madrid Castilla, during the transition season CD Tacón played all their home games at Campo 11 in Valdebebas. Tacón matches were not open to the general public, with only club members, or those possessing a membership card, allowed to attend. Unofficial rumours after the Extraordinary General Assembly on September 15 suggested the women's team would be expected to move into the Estadio Alfredo Di Stéfano at the start of the 2020-21 season. However, an article by El Mundo Deportivo reported that with the completion of the merger on 1 July 2020, the women's team would continue playing at Campo 11 as opposed to the Alfredo Di Stéfano Stadium, with games still limited to club members and selected visiting fans.