Preheat oven to 350 F. Grease and flour a 9 or 10- inch bundt cake pan. In a medium bowl, whisk together flour, salt, baking powder and baking soda.
In a large bowl, with either a hand or stand mixer, beat softened butter with granulated sugar until fluffy. Beat in eggs, milk, vanilla extract, lemon zest and lemon juice until smooth. Add the dry ingredients in three separate additions, beating after each until fully incorporated.
Pour cake batter into the cake pan and bake for 50-55 minutes. Let cool completely. Turn cake out onto a large plate.
For the lemon glaze, in a medium bowl, whisk together powdered sugar, lemon juice and milk. Pour glaze evenly over the cake.