The new initiatives have been introduced in over 345 of its 370 stores across England, Scotland and Wales, with only the smaller stores excluded due to space limitations.
Morrisons said the bins would be placed conveniently near the entrances and check outs.
The Christmas card collection scheme will run until January 31, with funds raised from it going towards Salvation Army causes.
However, the plastic carrier bag collections will be a permanent fixture, with the bags collected sent for recycling along with other polythene generated within the stores.
Morrisons purchasing manager with responsibility for packaging, waste management and recycling Alistair Hall said: We are delighted to offer our customers these additional recycling services, which are both quick and easy to use, and help both the environment and The Salvation Army causes. We hope as many people as possible will choose to take advantage of them.