Abad was born in Alcoy in 1993.[1] In 2013 he moved to Madrid for further training.[2] He and his wife Sonia have two children together; a son Eiden and a daughter Lis, who was born while Abad was competing at the 2019 World Championships.[3]
Abad competed at the 2013 Mediterranean Games where he helped Spain win gold as a team. Individually he won gold on vault. Later in the year he competed at the 2013 World Championships where he placed twentieth in the all-around.[5]
In early 2016 Abad competed at the Olympic Test Event. He finished twelfth in the all-around and qualified Spain a non-nominative Olympic berth. At the 2016 European Championships he helped Spain finish eighth. Abad was selected to represent Spain at the 2016 Olympic Games alongside Ray Zapata, who had qualified at the previous year's World Championships. During qualifications Abad finished 31st and was the third reserve for the all-around final.[8]
Second Olympic cycle: 2017–2021
Abad competed at the DTB Pokal Team Challenge in early 2017 where he helped Spain finish fifth.[9] Abad competed at the 2017 World Championships but did not qualify to any finals.
In early March 2018 Abad competed at the American Cup where he finished ninth.[10] At the 2018 Mediterranean Games Abad helped Spain retain their team title. Additionally he won bronze on horizontal bar. In September he competed at the Paris Challenge Cup where he won bronze on horizontal bar. At the 2018 World Championships Abad finished eleventh in the all-around.[11]
In April 2019 Abad competed at the Tokyo World Cup where he finished seventh.[12] In June he competed at the 2019 European Games where he finished sixth in the all-around. At the 2019 World Championships Abad helped Spain finish eleventh during qualifications. Although they did not qualify for the team final, they qualified a full team to the 2020 Summer Olympics in Tokyo.[13]
In summer 2021 Abad was named to the team to represent Spain at the postponed 2020 Olympic Games alongside Thierno Diallo, Nicolau Mir, and Joel Plata.[15] During the qualification round Spain finished twelfth and did not advance to the team final.