ITV News Political Correspondent Romilly Weeks reports:
The disgraced former energy secretary, who became the first former Cabinet minister since Jonathan Aitken to be sent to prison, remained motionless as the judge delivered his sentence, saying Huhne had lied "again and again."
Pryce also showed no emotion as Mr Justice Sweeney said she had a "controlling, manipulative and devious side."
The former couple sat near each other in the dock as their sentences were handed down, with the judge telling Huhne he was more culpable for the offence.
Deputy Prime Minister Nick Clegg's spokesman said the whole scandal and today's sentencing was "a personal tragedy for Chris, Vicky and their families."
He added: "After their sentences are served, Nick hopes that they will both be given the time and space to rebuild their lives."
The Prime Minister, who was speaking at 10 Downing Street, said Huhne's sentence should serve as a reminder.
The former Cabinet minister said "sorry" for his speeding points lies in interviews he gave to The Guardian and Channel 4 News hours before he was sentenced.
Both custodial sentences start immediately, with Huhne expected to be sent to Wandsworth Prison and Pryce to Holloway Prison.
Speaking outside Southwark Crown Court, Assistant Chief Constable Gary Beautridge, head of the Kent and Essex Serious Crime Directorate which investigated Huhne and Pryce, said:
The offence dates back to a decade ago tomorrow, when Huhne's black BMW was caught speeding on the way back from Stansted Airport as the then-MEP travelled home from Strasbourg.
With nine points on his licence, he avoided a ban by asking Pryce to take the speeding points.
The scandal became public in May 2011, nearly a year after Huhne left Pryce for current partner Carina Trimingham, as his ex-wife started a press campaign to "nail" him in revenge.
The former couple were charged with perverting the course of justice last February, forcing Huhne to resign as energy secretary.
The ex-Eastleigh MP embarked on lengthy legal attempts to have the case dismissed but when they failed, he pleaded guilty on the first day of the trial.