Veit became a member of the
SPD in 1991 and a member of the Hamburg Mitte District Board in 2000. Since 2004, Veit has been a member of the Hamburg Parliament for the SPD. In 2016 she was appointed President of the BSPC. She was a SPD delegate to the
Federal Convention for the purpose of electing the
President of Germany in 2017 and in
2022. ==Other activities==