Last week, 35,000 had crossed for the first time since the closure of the border a year ago by President Nicolas Maduro to combat cross-border crime.
Officials said they were expecting bigger crowds this week.
Many commodities are in short supply in Venezuela
due to the severe economic crisis in the country.
Open borders across the pedestrian bridge connects Tachira in Venezuela
and Cucuta in Colombia on Saturday, the day before the authorities of both countries had announced earlier.
Officials said they want to avoid the accumulation of a lot of people.
It was expected to stay open for 12 hours.
Venezuelans to cross the border
The growing discontent in the streets
Women push past border control
Venezuela has suffered from a severe shortage for several months
due to lower oil price, which is the main source of income in the country.
Many supermarkets have empty shelves and Venezuelans spend days in line to buy the commodity.
Critics accuse the government of President Maduro sharply to bad in the economy.
Mr. Maduro for his part, blamed the business community in the country to a shortage.
He ordered the border to be closed in August 2015 after troops attacked the paramilitary Colombian former Venezuelan military patrol and wounded three soldiers.
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