Preheat oven to 350°F (175°C). Grease and flour a 10-inch bundt pan.
In a large bowl, cream together softened butter and granulated sugar until light and fluffy. Beat in eggs one at a time, then stir in vanilla extract.
In a separate bowl, whisk together flour, baking powder, and salt. Gradually add dry ingredients to wet ingredients, alternating with milk, beginning and ending with dry ingredients. Mix until just combined.
Pour half of the batter into the prepared bundt pan. In a small bowl, mix brown sugar and 1 tablespoon cinnamon. Sprinkle half of the cinnamon mixture over the batter.
Repeat with remaining batter and cinnamon-sugar mixture. Use a knife to gently swirl the batter and filling for a marbled effect.
Bake for 40–45 minutes, or until a toothpick inserted into the center comes out clean. Let cool in pan for 15 minutes, then invert onto a wire rack to cool completely.
While cake is cooling, prepare glaze by mixing honey and melted butter until smooth. Drizzle over warm or cooled cake before serving.
Notes
Serve warm or at room temperature. Store leftovers in an airtight container for up to 3 days.