Persistently unruly pupils should be taken out of mainstream education and sent to "second chance centres" until they show they can behave.
The Scottish Conservatives said "radical measures" were needed from the SNP administration to address the problems posed by some of the most disruptive pupils in the country.
A poll commissioned by the Scottish Conservatives found 70% of Scots backed the idea, saying badly behaved pupils should not be returned to mainstream classrooms until they show that their behaviour has improved.
Liz Smith MSP, Scottish Conservative spokeswoman for children, schools and skills, said: "The SNP Government is not delivering for Scotland's parents, pupils and teachers.
"We need radical measures to improve discipline in our schools and, in the absence of any initiative from Fiona Hyslop, Scottish Conservatives are taking the lead.
"When it comes to persistently unruly pupils, we need to take them out of mainstream education and teach them in separate second chance centres until they know how to behave.
"Well-behaved pupils must be able get on with learning, and teachers to get on with teaching without the distraction of a few badly behaved pupils, who need a second chance to refocus their lives.
"To be moved out of mainstream education into a second chance centre would send a real message to the pupils concerned.
"They would be removed completely from the mainstream environment and taught by specialist teachers.
"School discipline should be at the forefront of the education debate."
The YouGov poll asked whether respondents would prefer continually disruptive pupils to be removed from mainstream classrooms and placed in separate classrooms with separate members of staff until they show that they can behave. Seventy per cent of those quizzed agreed.
According to the poll, 10% said they were in favour of those children being kept in the same classroom as well-behaved children, but with an extra member of staff.
Eleven per cent said such children should be sent home.
A Scottish Government spokesman said: "The Scottish Government is determined to support head teachers in their efforts to improve discipline. That's why alternatives to mainstream education, including residential schools, for pupil's whose behaviour is persistently disruptive already exist. Local authorities, voluntary organisations and the independent sector all offer alternatives for pupils."
He added: "To support this work, the Scottish Government fund the Pupil Inclusion Network to promote policy and good practice across agencies from all sectors."