Thomas Mair, who is accused of murdering Labour MP Jo Cox, will face a judge under the terrorism protocol on Thursday.
The 52-year-old appeared via video link from Belmarsh Prison at the Old Bailey on Monday.
When asked if his name was Thomas Mair, the defendant said "yes, I am".
At an initial hearing at Westminster Magistrates’ Court on Saturday, Mair refused to give his name, instead saying he was called “Death to traitors, freedom for Britain”.
Mair appeared at Monday with his arms folded, beside a prison officer.
The grey-bearded defendant wore beige trousers and a white long-sleeved t-shirt, the Press Association reported.
There was no application for bail.
He was remanded in custody and will appear before Mr Justice Saunders at the same court at 10am on Thursday.
Mrs Cox, 41, died after being shot and stabbed in the street outside her constituency surgery in Birstall, near Leeds, on Thursday.
Mair, from Birstall, appeared at the Old Bailey charged with murder, grievous bodily harm, possession of a firearm with intent to commit an indictable offence and possession of an offensive weapon.
On Saturday, Mair was not required to enter a plea and his lawyer Keith Allen said there was no indication what plea would be given.