The machines are installed at about 40 stores in England and one in Scotland.
Most machines awarded one point for every four recycled items. Now Green Clubcard points will only be issued for aluminium cans.
A Tesco spokeswoman told BBC News: When we first installed the recycling centres we trialled different points systems at different locations, including points for plastic bottles.
Unfortunately, this sometimes resulted in a system being misused with plastic items cuts up into many small pieces in order to gain additional points, which we were unable to sustainably award points for.
Last year a couple from Hampshire collected recyclable items to gain points to use for air miles for their honeymoon (see MRW story).