Her debut album A Night like This was released in 1993 and sold over 100,000 copies. She was nominated for five Swedish Grammys in 1993. This was followed by Good Thing in 1995, which got a platinum record and got her a Swedish Grammy Best Female Pop/Rock Artist of the Year in 1996.

Most of the albums by Rebecka Törnqvist are sung in English, with the exception of Vad Jag Vill (2001). She also appears on the Swedish compilation Jul i folkton (BAM, 2005) in the song Det Är En Ros Utsprungen (III), and on another Swedish compilation Dubbel Trubbel (EMI, 2005) with Resan Hem (together with Eldkvarn) and Vad Tänker Han På.

Rebecka Törnqvist was probably the most important artist in raising the interest in young female jazz vocalists in Sweden in the '90s,[citation needed] though her solo albums weren't pure jazz, but rather pop with heavy jazz influences. Apart from getting a number of followers in this style, she also revitalized the interest for the whole genre.[citation needed] In 1996 she was awarded Ulla Billquist Stipendiet (Swedish).

Rebecka Törnqvist grew up in Africa where her father worked for the Swedish foreign aid organisation Sida.