Step 1
Mix 2 cups flour and yeast together in the bowl of a stand mixer.
Step 2
Stir milk butter sugar and salt together in a saucepan; heat and stir over medium-low heat until the mixture is smooth and the temperature is between 90 degrees F (32 degrees C) to 100 degrees F (37 degrees C).
Step 3
Pour the milk mixture into the flour mixture add eggs and beat on low speed for 30 seconds. Increase speed to high and beat for 3 minutes more. Add 1 cup flour and 3 tablespoons orange juice to the mixture; mix on high for 3 minutes more.
Step 4
Fit the mixer with a dough hook. Add remaining flour to the mixture; beat with dough hook until the flour is completely incorporated.
Step 5
Grease a glass bowl. Put dough into the bowl. Let dough rise until doubled in volume 1 to 2 hours.
Step 6
Preheat oven to 350 degrees F (175 degrees C).
Step 7
Punch dough down. Divide the dough into two halves. Split each half into three even pieces roll each piece into a cylinder and braid into loaves. Put loaves onto a baking sheet. Let rise about 1 hour.
Step 8
Bake in preheated oven until the middle is baked 25 to 30 minutes.
Step 9
Stir confectioners' sugar and 1 tablespoon orange juice together in a bowl; brush onto the tops of the loaves.