The supermarket chain estimate saving 1,300 tonnes of plastic a year primarily based on an unbeaten trial run.
They held an eight-week take a look at in eight stores since January.
Welsh shops will be the first to supply paper provider luggage subsequent week adopted by English and Scottish supermarkets in May.
The paper made from sustainably managed forests and the baggage are sturdy sufficient to hold procuring weighing as much as 16kgs, says Morrisons.
A director of the grocery store, Andy Atkinson, said: “We’re taking one other meaningful step that may take away an estimated 1,300 tonnes of plastic out of the environment each year.
“Our prospects have told us that decreasing plastic is their primary environmental concern, so introducing the paper bag throughout the nation will present another means of lowering the plastic in their lives.”
Morrisons removed 5p plastic carrier bags early in 2018, which led to a 25% discount in total bag sales.
The 5p plastic bag levy started in England, in October 2015, and all massive retailers have been required to submit the charge.
Similar schemes run in Wales, Scotland and Northern Eire.
Authorities figures show that just about two billion 5p plastic bags have bought within the last monetary year.
It’s a sizeable discount from 7.6billion carrier baggage that was handed out by solely the seven largest supermarkets in England, in 2014.