Asda has introduced a three pack limit for purchases of tomatoes, peppers, cucumbers, lettuce, salad bags, broccoli, cauliflower and raspberries.
'Like other supermarkets, we are experiencing sourcing challenges on some products that are grown in southern Spain and north Africa,' an Asda spokesperson said.
'We have introduced a temporary limit of three of each product on a very small number of fruit and vegetable lines, so customers can pick up the products they are looking for.'
All of Britain's major supermarkets have been hit by the supply issues that stem from disrupted harvests in southern Europe and north Africa caused by unhelpful weather.
The British Retail Consortium, which represents all the big grocers, expects the supply disruption to last a few weeks.
Morrisons will be introducing caps of two items per customer across tomatoes, cucumbers, lettuce and peppers, it said.
Aldi UK has followed rivals Asda and Morrisons by imposing customer purchase limits on salad vegetables.
"We are limiting purchases of peppers, cucumbers and tomatoes to three units per person to ensure that as many customers as possible can buy what they need," an Aldi UK spokesperson said.
Tesco has also imposed purchase limits on salad vegetables with a limit of three items per customer on tomatoes, peppers and cucumbers.