Vīts Rimkus started his career in 1993 with Pārdaugava Rīga, scoring twice in 14 league appearances. After a promising start youngster was transferred to DAG Rīga in 1994. He played 15 league games for the team and scored 3 goals that season. He kept changing clubs and the next season was spent with another club from Riga - Amstrig Rīga. The 1995 season turned out to be a loud start of his career as he managed to net 8 times in 26 matches. Several offers to go abroad appeared and the player chose to move to Switzerland, signing a contract with FC Winterthur. Scoring 8 goals in 10 matches that season, he moved to Germany in 1996, signing for 1. FC Nürnberg. Despite the loud boom in Switzerland, Rimkus couldn't prove himself in Nürnberg, so he was given away to another German club - FC Erzgebirge Aue. 10 matches with no goals made him return to Latvia then. In 1998, he was signed by Skonto Riga. After a really successful season the player was given away to FK Valmiera, where he played for 2 years, showing great performance. In 2001FK Ventspils signed Rimkus for free and had him playing there until 2004. Scoring 70 goals in 100 matches, he attracted attention from many Russian clubs and was signed by FC Rostov in 2005. Staying goalless in 9 games he was soon released and taken back by FK Ventspils. In the next 5 seasons, as a player of FK Ventspils, Rimkus scored 66 league goals in 109 matches. In 2009, he left the club after rumors about betting on his own team results, but nothing was proved in the end, and later it turned out to be a serious conflict with the board of the club. In 2010 Rimkus moved to Lithuania, signing a one-year contract with FK Ekranas. He became the highest scorer of the team that season with 15 goals in 26 matches respectively, just one goal behind the top scorer of the leaguePovilas Lukšys. After the season Rimkus moved to Cyprus, signing a half-season contract with the Cypriot Fourth Division club Finikas Ayias Marinas Chrysochous. In July 2011 he returned to Latvia and signed a contract with the Latvian Higher League newcomers FC Jūrmala. Despite joining in mid-season, with 10 goals in 18 games he became the team's highest scorer in the league. In March 2012 Rimkus was signed by the Latvian Higher League newcomers FK Spartaks Jūrmala, but after just playing 1 match he was released. In January 2013 Rimkus joined the Latvian First League club FB Gulbene. With 20 goals in 23 matches during the 2013 season Rimkus became his club's second best top scorer. Despite Rimkus scoring a goal in the promotion/relegation play-offs, his team lost to FS METTA/Latvijas Universitāte 5–2 on aggregate and failed to secure a place in the Latvian Higher League for the 2014 season. Prior to the 2014 Latvian First League season Rimlus moved to AFA Olaine. Aged 40, he scored four goals in the first three league appearances for the club, but then left the team turning to playing indoor football. Before the start of the 2016 Latvian First League season Rimkus returned to association football at the age of 42, joining Skonto FC. Throughout the season Rimkus participated in 19 league matches, scoring 13 goals.
