Ali Harbi Ali, 25, the son of an ex-media adviser to a former prime minister of Somalia, is accused of repeatedly knifing Amess a week ago in a church hall where he was meeting voters in his constituency.
Prosecutors also allege that Ali, who they say was inspired by Islamic State, had planned to attack a member of parliament for more than two years before last Friday's murder.
Ali appeared by videolink from London's top security Belmarsh Prison for a brief hearing at court on Friday, speaking only to confirm his name and age in a clear, loud voice.
The suspect, who is charged with murder and preparing acts of terrorism between May 2019 and September 28 this year, will next appear at the Old Bailey on Nov. 5 and a preliminary trial date was set for March next year. He was remanded in custody.
On Thursday, another court was told by prosecutors he had carried out reconnaissance on two other lawmakers prior to the attack on Amess.
The killing of 69-year-old Amess, a father of five children, five years after another British member of parliament was murdered on the street, has prompted calls for better protection of lawmakers.
A member of Prime Minister Boris Johnson's Conservative Party, he was attacked at the Belfairs Methodist Church in Leigh-on-Sea, northeast of London and died there despite the efforts of paramedics.
British lawmakers regularly hold "surgeries", or one-to-one meetings with voters in their constituencies, a tradition considered a bedrock of democracy. But with little or no security and an emphasis on access for all, surgeries can make lawmakers vulnerable.
On Wednesday, interior minister Priti Patel said the terrorism threat level to lawmakers was now deemed substantial, which means an attack is considered likely.