Adam Thomas and Claudia Patatas were found guilty of being members of the extreme right-wing group.
The couple named their baby son Adolf in honour of Hitler.
Thomas, 22, was jailed for six and a half years and Patatas, 38, was jailed for five years at Birmingham Crown Court today.
Both had “a long history of violent racist beliefs”, said the sentencing judge.
A total of six people were sentenced on Tuesday, for being members of what Judge Melbourne Inman QC described as a group with “horrific aims”.
He said: “Its aims and objectives are the overthrow of democracy in this country by serious violence and murder, and the imposition of a Nazi-style state which would eradicate whole sections of society by such violence and mass murder.”
The jury was informed Thomas and Patatas gave their child the middle name “Adolf”.
This, Thomas said, was in “admiration” of Hitler and the couple had Swastika scatter cushions in their home.
Photographs, recovered from the couple’s address, showed Thomas cradling his newborn son while he wore the hooded white robes of a Ku Klux Klansman.
In conversation with another National Action member, Patatas said “all Jews must be put to death”.
Thomas had once told his partner he found “all non-whites intolerable”.
The former Amazon security guard Thomas and Patatas, a wedding photographer originally from Portugal who also wanted to “bring back concentration camps”, were found guilty after a seven-week trial.
Thomas, who was a twice-failed Army applicant, was also convicted on a majority verdict of having a terrorist manual, namely the Anarchist’s Cookbook.
Jurors heard this contained instructions on making “viable” bombs.
The couple, of Waltham Gardens, Banbury, Oxfordshire, held hands and wept as they were sentenced.
Their friend, Darren Fletcher, of Kitchen Lane, Wednesfield, Wolverhampton, admitted National Action membership before trial and was jailed for five years for the same offence.
Three other men were also sent to jail including Daniel Bogunovic, of Crown Hills Rise, Leicester, who was found guilty of National Action membership after a trial.
The judge handed Bogunovic, the organisation’s Midlands cell co-leader, a sentence of six years and four months.
He told him: “You were a National Action member from first to last.”
Nathan Pryke, of Dartford Road, March, Cambridge, was the cell’s “security enforcer” and who admitted membership.
He was jailed for five years and five months.
The group’s “banker” and “cyber security” specialist Joel Wilmore, of Bramhall Road, Stockport, also pleaded guilty and was sent to prison for five years, 10 months.