Work to transform part of Pollokshaws began in 2008 with the razing of tower blocks in Riverford Road and Riverbank Street.
This latest stage of the long term revamp plan will see the demolition of 93 Shawholm Crescent and 232 Shawbridge Street.
David Fletcher, Glasgow Housing Association's director of regeneration, said: "We have been talking with residents and would like to thank them for their understanding while we continue to improve their community.
"There are already 93 new homes for tenants in Riverford Road and we are also completely refurbishing 40 tenement flats, which will be available soon for mid-market rent.
"And early next year GHA will start work on a further 46 new homes in the area."
The high flats have stood since the 1960s.
Since work in the area began six years ago, the Riverford and Riverbank blocks have been demolished, along with two nearby blocks in Shawholm Crescent.
A string of other multi-storey, low-rise and tenement blocks in Shawbridge Street and Shawholm Crescent are also set to go.
Shawbridge has been targeted as a priority for regeneration by GHA, Glasgow City Council and the Scottish Government.
Work on the demolition of 93 Shawholm Crescent and 232 Shawbridge Street will start on Wednesday.
Shawbridge Street will be closed between Nos 205 and 229 from then until October 5.
Diversions will be signposted along Nether Auldhouse Road, Pollokshaws Road, Riverford Road and Auldhouse Road,
Contractor Dem Master is carrying out the demolition using a super-high reach machine - the tallest in Europe, with a reach of 220ft.
It will move on to the demolition of 215 Shawbridge Street when the other two are complete. The work is due to take about six weeks.
The blocks at 12 Riverford Road and 21 Riverbank Street were demolished in July 2008, while 124 and 142 Shawbridge Street came down in August 2009.
The high-rises at 160 Shawbridge Street and at 33 Shawholm Crescent fell in 2011.