Both sides declared the spat over on Thursday. "We're pleased this situation has been resolved to our satisfaction," a Tesco spokesman said. Unilever also said the supply situation in Britain and Ireland had been successfully resolved.
The June 23 vote to leave the EU took many investors and company executives by surprise, unleashing the biggest one-day fall in sterling against the dollar.
The pound's fall -- it is down 19 percent against the U.S. currency and about 16 percent against the euro -- has left suppliers and retailers battling for profits as imported goods become more expensive.
That fight appeared to spread to supermarket shelves. Supervalu, Ireland's largest supermarket, said it was also holding negotiations with Unilever over pricing and could "experience some supply issues on certain Unilever products".
Bruno Monteyne, a former senior Tesco executive who is now an analyst at Bernstein, said Tesco has typically one to two weeks' stock.
"While politicians can deny reality, a shampoo produced on the continent is now 17 percent more expensive," he said. "This isn't about Tesco or Unilever but about all UK retailers and suppliers."
Tesco and Unilever stock fell 2.2 and 3.5 percent respectively.
High street stalwart WH Smith said separately it would look to consolidate factories and negotiate better prices with suppliers to cut costs.
"If people are worried about losing Marmite from Tesco, wait until they find out about jobs...," said Wes Streeting, a lawmaker from the opposition Labour Party who backed the Remain campaign in the June 23 referendum.