Preheat your oven to 350°F (175°C). Grease and flour an 8-inch round cake pan.
In a medium bowl, whisk together the flour, baking powder, and salt. Set aside.
In a large bowl, cream the butter and sugar together until light and fluffy. Add the eggs one at a time, beating well after each addition. Stir in the vanilla extract.
Add the flour mixture to the butter mixture alternately with the orange juice, beginning and ending with the flour. Mix until just combined.
Fold in the orange zest and cranberries gently.
Pour the batter into the prepared cake pan, smoothing the top with a spatula.
Bake in the preheated oven for 45 minutes, or until a toothpick inserted into the center of the cake comes out clean.
Allow the cake to cool in the pan for 10 minutes before transferring to a wire rack to cool completely.