Mix flour, baking soda and salt in medium bowl.
Beat butter, brown sugar and granulated sugar in mixer bowl on medium speed until light and fluffy, about 3 minutes. Add eggs and vanilla; beat on low speed until blended. Gradually add flour mixture, beating just until blended. Stir in chocolate chips and walnuts.
Refrigerate, covered, until firm, about 1 hour or overnight.
Heat oven to 375°F. Drop dough by tablespoonfuls, 2 inches apart, onto parchment paper-lined or ungreased baking sheets.
Bake in 375°F oven until lightly browned, 9 to 11 minutes. Cool on baking sheets 1 minute. Remove to wire racks; cool completely.
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