A youth product of Dalstorps IF, Alexandersson spent the majority of his career with IF Elfsborg, with whom he made 175 Allsvenskan appearances, won the Svenska Cupen twice, played in the UEFA Cup, and was the club's player of the year in 1999.
Elfsborg beat AIK in 2001 in a lengthy penalty shoot-out[8] – Alexandersson took and scored with his side's fourth attempt; the match was eventually decided after 24 kicks[9] – and enjoyed a more comfortable victory over Assyriska FF in 2003.
[5] In the 2004–05 UEFA Cup second qualifying round, goalless with three minutes left to play of the away leg against Glentoran, Alexandersson "volleyed in a free-kick from the right swung over by left-winger Andreas Klarström.
[14] He played in ten matches as Aalesund were promoted as runners-up and a further five in the 2007 Tippeligaen before finishing that season back in the First Division with six appearances on loan to Skeid.
After two seasons as player and assistant coach with Dalstorps IF,[17][18] he spent the 2011 campaign as player-coach with Grimsås IF,[19][20] and then returned to the Borås area where he took a job at a school in Sandared.