There are more than 1,000 Amazon Lockers in locations such as shopping centres, convenience stores, airports, train stations, and universities.
They enable customers who are unable to wait at home for orders to collect them from a location of their choice.
Amazon customers receive a unique barcode, which they enter or scan to retrieve their product at the locker.
Trevor Strain, chief financial officer of Morrisons, said he believed the option to pick items up "from one of our hundreds of conveniently located supermarkets will be attractive".
Meanwhile Amazon said the supermarkets were in "ideal locations" for customers to collect their items.

The house and recording studio complex, where the pop star died in April, will open to the public after Chanhassen City Council in Minnesota approved plans to change its status.
Mayor Denny Laufenburger told The Star Tribune newspaper it would be a "big benefit for the community".
But local resident Shelia Claytor, one of 30 people to attend Monday's meeting, said it was "a rush job".
Paisley Park opened to the public for three days earlier this month as part of a temporary agreement with the city.
The museum's website said tours would begin again on Friday and bookings are being taken until December.
Tour dates for 2017 are expected to go on sale next month.
"Prince's museum is going to outlive us all," said Joel Weinshanker of Graceland Holdings, which is overseeing the museum.
The museum, which displays Prince's guitars, the Purple Rain motorcycle and his ashes in a decorative urn, is expected to attract 600,000 people a year.
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Sussex could have taken third place had they won at Hampshire, but rain forced their match to be abandoned.
Somerset's fixture at Middlesex was also called off, meaning Somerset finish second in the South Group.
Essex finished top of the group after beating Kent by 57 runs on the Duckworth-Lewis method at Canterbury.
They are joined by North Group winners Worcestershire in going straight through to the semi-finals.
Somerset will host Nottinghamshire in the quarter-final on 13 June with the winner to face Essex at Chelmsford three days later.
Yorkshire play Surrey at Headingley in the other quarter-final, also on 13 June. The winner travels to Worcestershire on 17 June.
At Canterbury on Wednesday, Varun Chopra scored 83 from 98 deliveries, while England Test opener Alastair Cook made 54 as the visitors reached 307-6 from their 50 overs.
Kent lost three early wickets before rain caused play to be stopped after 11 overs had been bowled, with the hosts on 50-3 - well short of their adjusted target.
Surrey captain Gareth Batty told BBC Radio London:
"It was 100% the right decision [to call the game off], the water's coming over your shoes out there.
"There's nothing you can do, you just move on to the next game."
Morrisons says it plans to install hundreds of Amazon lockers in its supermarkets this year.
[NEXT_CONCEPT]
Prince's famous former home Paisley Park is to become a permanent museum.
[NEXT_CONCEPT]
Surrey qualified for the One-Day Cup knockout stages despite rain causing their game at Gloucestershire to be called off without a ball being bowled.