Preheat the oven to 350° F (180° C) and line a 9x13 inch (33x23 cm) baking pan with parchment paper or spray with baking spray. In a medium bowl, combine the flour, baking powder, salt, and cinnamon, and set aside. In another medium bowl, mash the bananas with a potato masher and set aside.
In a large bowl, cream the butter and brown sugar together until fluffy. Mix in the eggs one at a time, then add the vanilla, milk, and mashed bananas. Mix until well combined.
Add the flour mixture and mix in gently. Before the batter is all the way combined, add the chocolate chips and switch to a spoon, stirring until the batter is fully combined but being careful not to overmix.
Bake at 350° F (180° C) for about 30 minutes, or until the top of the cake springs back when touched. Allow the cake to cool for an hour before frosting.