Preheat the oven to 375°.
In a large bowl, cream together the butter, white sugar and brown sugar until smooth. Beat in the egg until well blended. Mix in 1 teaspoon orange zest and 2 tablespoons orange juice. Combine the flour, baking soda and salt. Stir into the orange mixture. Mix in cranberries and walnuts until evenly distributed. Drop dough by rounded tablespoonfuls onto ungreased cookie sheets. Cookies should be spaced at least 2 inches apart.
Bake for 12 to 14 minutes in the preheated oven, until the edges are golden. Remove from cookie sheets to cool on wire racks.
In a small bowl mix together 1/2 teaspoon orange zest, 3 tablespoons orange juice and confectioners' sugar until smooth. Spread over the tops of cooled cookies. Let stand until set.