"It is now time to open Texas 100%," the Republican said on Tuesday.
Texas is the largest US state to end its mask mandate. Mr Abbott has faced criticism from his party over the measure, which was imposed last July.
More than 42,000 people have died with Covid in Texas since the start of the pandemic.
Mr Abbot announced he is lifting of the restrictions in a speech at the Chamber of Commerce in the city of Lubbock on Tuesday.