The Cairo court sentenced an officer to five years in prison, another to one year, and four policemen to three years, a judicial official said.
They had been convicted of beating to death Saed Said, a 26-year old accountant, in a police station in 2012.
In July last year, a court in southern Egypt sentenced six policemen to prison for beating to death a 47-year old detainee.
President Abdel Fattah al-Sisi has promised to toughen laws on police abuses, while also saying such incidents do not reflect on the entire police force.
Police abuses had partly fuelled a 2011 uprising that overthrew veteran strongman Hosni Mubarak, who ruled Egypt for 30 years.
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