Sean Rigg died from cardiac arrest at Brixton police station in 2008
Two police officers will not face charges of perjury, perverting the course of justice or collusion in relation to a death of a prisoner.
Musician Sean Rigg, 40, was arrested in Balham and taken to Brixton police station, in south London, in August 2008 on suspicion of attacking a man.
He suffered a cardiac arrest and died at the station.
The Crown Prosecution Service (CPS) was asked to make charging decisions over three allegations only.
Potential murder or manslaughter charges continue to be investigated by the Independent Police Complaints Commission (IPCC).
An inquest jury found police used "unsuitable" force on Mr Rigg, for allegedly attacking officers and passers-by.
Mr Rigg had been diagnosed with schizophrenia as a 20-year-old.
The CPS said it would take no further action after considering allegations against a custody sergeant and police constable concerning statements made about Mr Rigg that were later shown to be incorrect.
Malcolm McHaffie, CPS deputy head of special crime, said: "Having considered the material provided to us in great detail, we have concluded that there is insufficient evidence to prosecute for any criminal offence
"We appreciate that this decision may be disappointing to the family of Mr Rigg, but we have written to them to explain our position in detail and have offered to meet with them if they so wish."