The demolition is scheduled to take eight weeks to complete
The infamous "Get Carter" car park will be demolished over eight weeks beginning on Monday 26 July, 2010.
The £150 million plans submitted by Spenhill, the regeneration subsidary of Tesco, give details of the regeneration of Trinity Square.
These include a new town square, 45 retail units, offices, a student village with over 900 beds, town centre parking and a supermarket.
The multi-storey car park which featured in the film "Get Carter" opened in August 1969 and closed in January 2008.
After the eight-week demolition, it will take another eight weeks to completely clear the site.
In pictures: See pictures of the demolition taking place
The centre was designed in 1962 when Brutalism - raw exposed concrete defining the character of the building and its exterior - was at the cutting edge of architecture.
However, by the time the car park opened on 2 August 1969, initially free of charge, interest in the movement had already begun to decline.
It cost £200,000 to construct and was designed by post war architect, Owen Luder, who was subsequently RIBA President and is an example of Brutalist architecture.
on the design for the car park has been divided right down the middle ever since it opened.
The car park achieved notoriety after featuring in the cult 70s film Get Carter, starring Michael Caine.
Trinity Square should look like this after regeneration
Caine played Jack Carter, a formidable gangster who returned to Newcastle to try to find out the truth about his brother's death.
Leader of Gateshead Council, Councillor Mick Henry, said: "This car park is a significant part of Gateshead's history.
"For forty years it has been visible from across Newcastle and Gateshead and, as well as accommodating thousands of cars over the years, it has been a huge talking point and a great location for filming and photography.
"We all recognise its architectural style, whether loved or hated, but we've long awaited the opportunity to redevelop the town centre to better suit the needs and expectations of people who live and work here."
Doug Wilson, Corporate Affairs Manager for Spenhill, said: "Beginning the demolition of the car park is a momentous day for Gateshead.
"It has dominated the town centre for many years and in consultations local people have overwhelmingly called for it to go.
"In its place, Trinity Square will be a major investment into Gateshead that will create hundreds of new jobs and a town centre people can be proud of."