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Early career 
Born into a Danish family residing in Victoria, British Columbia, Jensen began his career in his home country at the age of sixteen playing jazz and classical music. He then joined Radio Luxembourg at the age of eighteen in 1968. His late-night show, "Kid Jensen's Dimensions," concentrated on "progressive" music and attracted many fans, including former British prime minister Tony Blair. By 1974, Jensen was becoming a TV personality in Britain, hosting pop shows on ITV, and in the mid-1970s he worked for the then-new Radio Trent (now Capital East Midlands) in Nottingham, one of the first legal, land-based commercial radio stations in the UK. During the early part of his career he was billed as "Kid Jensen" and did not use his given name professionally until 1980.
BBC Radio 1 
In 1976 he joined the BBC's pop network, Radio 1, initially hosting a Saturday morning show from 10am-midday, but sitting in for many other DJs, and eventually graduating to a weekday late afternoon/early evening show in the spring of 1978 from 4:30 to 7:00 pm. He kept his profile high through regular appearances presenting Top of the Pops, and championed many acts who went on to achieve huge commercial success, notably The Police and Gary Numan. He was effectively a halfway house between the specialist music-orientated DJs such as John Peel and the daytime "personality jocks" such as Dave Lee Travis. In the late 1970s he also wrote a column for the new Daily Star newspaper. In September 1980, Jensen left Radio 1 to work for the then-new CNN in Atlanta, but he returned a year later, presenting the weekday evening show from 8-10pm (later extended to run from 7-10 pm). Soon afterwards he dropped the "Kid" name, although he would still be popularly known by it for many years to come. His mid-evening show was dominated by indie-rock, but also featured interviews with mainstream acts such as Duran Duran, and was the first show to champion Frankie Goes to Hollywood, long before their commercial success. He remained a regular Top of the Pops presenter and struck up a legendary partnership with John Peel.
Capital Radio 
In 1984, Jensen quit Radio 1 & joined London's Capital FM, for whom he presented a weekday mid-morning show, then moving to weekday drivetime—as it is now called—in 1987.
In addition to his weekday shows he also presented the weekly The Network Chart Show, the UK's first syndicated commercial radio show which originally went out every Sunday between 5 and 7pm, directly opposite the BBC Radio 1 Top 40 show. Its anticipation of commercial radio's future direction is far more important than the chart it actually broadcast, which never equalled the definitive status of the official chart (then compiled by Gallup) used by Radio 1, even though it was considerably more up-to-date until the compilation of the official chart was speeded up in 1987.
While presenting the Network Chart, Jensen became ITV's unofficial "face" of pop music, presenting pop shows such as "The Roxy", an attempt to compete with Top of the Pops. He would continue to comment regularly on pop-related stories in ITN and Sky News bulletins for some time after he left the Network Chart in 1993, when he was replaced by Neil Fox (the show has since evolved into hit40uk). He continued to present the weekday drivetime show on what was now called Capital FM until 1998.
He also presented various children's programmes including Worldwise and Popquest.
Recent years 
In 1998 Jensen joined rival London FM station, Heart 106.2, presenting the weekday drivetime show from 4-7pm. He also presented a Saturday afternoon show which was networked on Birmingham's 100.7 Heart FM.
In 2002 he returned to Capital and was heard on its oldies service Gold, first presenting the Monday - Thursday late night show from 10pm-1am, before taking over the weekday mid-morning slot in February 2003, then the breakfast show, which he used to co-host with Erika North. Jensen later moved to late morning slot 10am–1pm. On Saturdays Jensen teamed up with Capital Radio Producer Craig Kingham, between them they devised the Saturday morning show which was sponsored by OK magazine, this also featured weekly celebrity interviews including Elton John and Stevie Wonder. He left Gold in Dec 2010.
In September 2008, Jensen hosted the evening show of Planet Rock (7-11pm) as a stand-in for Nicky Horne. He currently hosts Planet Rock's Sunday Morning show, "Another Dimension". He also co-hosted with Rick Wakeman on Saturday mornings on Planet Rock until December 2010 and he briefly hosted the Saturday morning 10am-1pm show on his own, until he left the station in April 2011.
Jensen joined Smooth Radio in April 2011 to present an afternoon show. In April 2012 he took over the Smooth Drive Home slot (Mondays to Friday, 4:00pm – 8:00pm) from Carlos while Carlos moved to the afternoon show. Jensen also hosts a two-hour show on Smooth Radio on Sunday evenings.
He was a co-presenter (off-screen) of the TV programme Gillette World Sports Special, alongside Mark Webster.
The "Kid" occasionally appears on LBC's breakfast show with Nick Ferrari reviewing the newspapers.
Personal life 
Jensen is married to wife Guðrún and they have three children and two grandchildren. Their youngest son, Viktor, a successful racing driver, both competed in and was also a National Class winner in the 2007 British and International Formula 3 Championship. Jensen also founded the Kid Jensen Racing team that briefly raced in the Formula 3000 championship, which won one race at the hands of Nicolas Minassian in 1999 at Silverstone.
In 2010 he became a Freeman of the City of London and was inducted into the UK Radio Hall of Fame.
Jensen is a fan of Crystal Palace, is chairman of the Crystal Palace F.C. Vice-President's Club, and also acted as ambassador for the CPFC 2010 consortium during the purchase of the club from administrators.
- Kid Jensen on the Smooth Drive Home on Smooth Radio
- Kid Jensen's Double Top 20 on Smooth Radio
- Radio Rewind - David Jensen