Seasonal entertainment and Christmas Eve markets are some of the events planned, organised jointly by the market traders and East Riding of Yorkshire Council.
Traders will also be decking their stalls with Christmas decorations for the annual best-dressed stall competition.
The annual Allan Gorbutt Cup, named in memory of well-known trader Allan Gorbutt, who ran a stall at Beverley market for 48 years, will be presented to the best-dressed stall.
Saturday 21 December will be a regular market, but there will be plenty of festive presents and produce on sale including mulled wine and mince pies, giving shoppers a chance to stock up for Christmas.
Then on Tuesday 24 December, there will be a Christmas Eve market in Saturday Market, giving shoppers a last-minute chance to buy gifts and food for the holidays.
Beverley market will return after Christmas on Saturday 28 December.
There will be festive cheers on offer at Pocklington market every Tuesday throughout December, including a Christmas Eve market on Tuesday 24 December.
Richard Lascelles, markets officer for East Riding of Yorkshire Council, said:
“We have been working together with the market traders to put on special attractions in the run-up to Christmas, and we hope people will come along and support the markets in Beverley and Pocklington.”