The deceased, attached to the Kalasipalya police station, was being treated at Victoria Hospital here, they said.
This the second death of a policeman in the state due to COVID-19.
The first one was an assistant sub-inspector attached to the V V Puram traffic police station.
Officials said the deceased constable was among nine others who had tested positive for COVID-19.
Meanwhile, an ASI with the Wilson Garden traffic police station here has also reportedly tested positive.
According to sources, the ASI is undergoing treatment at a designated hospital and the station has been sanitised.
His contacts are being quarantined. KSU BN WELCOME BN WELCOME