Eric Ruddy, 64, and his 54-year-old wife Carol, were found with serious injuries at their home in Bentinck Street at 10:25 GMT on Friday.
They were taken to the city's Royal Victoria Infirmary, where they were later pronounced dead.
Police said Martin Ruddy, 28, from South Tyneside, had been charged with two counts of murder and was due before North Tyneside magistrates on Monday.
No details of how the couple died have been released but the results of a post-mortem examination are due later.
A relative of a Newcastle couple has been charged with their murder.