Smiley Culture died after officers swooped on his home in Surrey.
The musician, real name David Emmanuel, 48, apparently died from self-inflicted wounds.
The Independent Police Complaints Commission has launched an investigation, after the incident was voluntarily reported to it by Scotland Yard.
Officers from the Metropolitan Police had called at his home in Warlingham, Surrey, as part of a series of raids during a drugs investigation.
It is believed he died in the kitchen of the house after police tried to resuscitate him.
Surrey police were called to the house during the incident.
It is understood other suspects were arrested at other addresses during the series of raids.
Smiley Culture had a short burst of fame in the 1980s with singles Cockney Translation and Police Officer which both reached the singles charts and led to appearances on BBC’s Top Of The Pops.
As his pop career diminished he turned to acting, with a cameo appearance in the film Absolute Beginners.
In September last year he was charged with conspiracy to supply cocaine and appeared at Croydon Magistrates’ Court.
– Article first appeared in Sky News.