As a family, we are hugely disappointed with the judgment but it will not stop us.
We will carry on with the case for as long as we can so that others who find themselves in a position similar to Tony don't have to suffer as he did.
Nobody deserves such cruelty."
Paul Lamb has told ITV News he will "never give up" his legal battle for the right to die.
He says he "had little hope" of a ruling in his favour, but is ready to appeal again to the Supreme Court.
"The judge said he had 'sympathy' for me," Mr Lamb said. "I hate that word. Sympathy is no good to me. When he talked about sympathy I just wanted to shout at him.
"If they had a dog that was in the same pain as I am, they wouldn't allow it. The law is just cruel," he added. "There are thousands of people like me, and all we want is the individual right to choose how to end our lives."
Right-to-die campaigner Paul Lamb has said he is "absolutely gutted" by the Court of Appeal ruling against his challenge.
"I was hoping for a humane and dignified end," he said. "This judgment does not give me that."
Like the family of Tony Nicklinson, Mr Lamb pledged to continue to challenge the law despite the latest defeat.
"I will carry on the legal fight - this is not just about me but about many, many other people who are being denied the right to die a humane and dignified death just because the law is too scared to grapple with these issues," he said.
To which Tony Nicklinson's family responded:
Tony Nicklinson's family, have confirmed they will appeal the Court of Appeal's ruling against them, have also praised the judges' ruling in favour of one of the three right-to-die challenges.
Three judges rejected the Nicklinson and Lamb cases.
But in a majority ruling the court allowed an appeal by a locked-in syndrome sufferer known as "Martin", who sought clarification of Director of Public Prosecution guidance relating to the position of health professionals in assisted suicide cases.
The family of late locked-in syndrome sufferer Tony Nicklinson from Wiltshire and paralysed road accident victim Paul Lamb lost their right-to-die challenges at the Court of Appeal in London today.