Smart said she would go on hunger strike after being jailed.
The judge, sitting with Mr Justice Chamberlain, said there was no alternative to custodial sentences given that the group’s actions were so serious and they had made it clear they intended to further flout court orders.
She said: “The defendants, or some of them, seem to want to be martyrs for their cause, and the media campaign surrounding this hearing appears designed to suggest this.
“We, however, have to act dispassionately and proportionately.”
The group and their supporters chanted “We are unstoppable, another world is possible”, as they were led to the cells through the dock by security officers.
Raj Chada, a solicitor at Hodge Jones and Allen law firm who supported the protesters, said: “With these prison terms, the long and honourable tradition of civil disobedience is under attack again.
“Rather than leaving courts to imprison those that raise the alarm, it should be the Government that acts to protect us against the climate crisis.”
The submissions made by Ben Taylor, 37, to the court on Tuesday were described by Dame Victoria Sharp as “inflammatory” and a “call to arms”, and he was therefore given a longer sentence of six months “to deter (him) from committing further breaches”.
The judge, sitting with Mr Justice Chamberlain, said there was no alternative to custodial sentences given that the group’s actions were so serious and they had made it clear they intended to further flout court orders.
She said: “The defendants, or some of them, seem to want to be martyrs for their cause and the media campaign surrounding this hearing appears designed to suggest this.
“We, however, have to act dispassionately and proportionately.”
Ms Stacey said further committal proceedings will be issued against other Insulate Britain protesters by the end of the week, relating to protests on October 27. She also said evidence is being gathered to bring proceedings in relation to protests on October 29 and November 2.
So far, 161 people have been involved in the campaign and there have been more than 800 arrests.