Sandra White, SNP MSP for Kelvin, is launching a Member's Bill to allow tougher enforcement of motorists who cause an obstruction.
Her plan is backed by charities representing blind and disabled people who said it causes them severe difficulties, having to negotiate obstacles on the pavements.
Ms White's proposed Responsible Parking Bill would introduce enforcement for double parking, pavement parking and parking at dropped kerbs.
She said: "Pavements are for people not cars. There is a terrible problem in parts of Glasgow with double parking, and cars left up on pavements.
"This proposal has one of the highest responses for a Member's Bill. If you are blind or in a wheelchair or with a pram, it is ridiculous. It is criminal that you can't walk on the pavement.
"There is a number of drivers who are inconsiderate. We have the backing of the fire service and the police and traffic wardens are also in support if legislation."
Earlier this year the Evening Times reported residents in Yorkhill were frustrated by double parking, cars left on pavements and blocking the way for others.
Ms White said she would take up residents' concerns. People were concerned it would lead to a serious accident.
Charities supported the plans for a Bill in the Scottish Parliament.
Keith Irving, spokesman for Living Streets, which camp-aigns for accessible public spaces, said: "Inconsiderate parking stops us getting around our communities safely.
"We're keen to see legislation as soon as possible."
A spokeswoman for Guide Dogs Scotland said: "I don't think there is malice but inconsideration. The time is now right for this bill."
Ms White's plan was backed by Transport Minister, Keith Brown, who also said it was a problem that was particularly bad in cities.
He said: "Obstructive parking is a significant inconvenience to us all. There is real concerns in some of the larger conurbations where there can be three cars in one family."