Preheat the oven to 375° F. Stir together the flour, baking soda and salt in a small bowl. Beat butter, granulated sugar, brown sugar, eggs and vanilla in a large mixing bowl. Gradually beat in flour mixture. Stir in oats and morsels. Drop by rounded tablespoon onto ungreased baking sheets.
Bake 7 to 8 minutes for chewy cookies or 9 to 10 minutes for crisp cookies. Let cool on baking sheets before removing.