Start by gathering all your ingredients.

In a medium saucepan, whisk together the sugar, cornstarch, and salt.

Gradually whisk in the milk until combined.

Place the saucepan over medium heat and cook, whisking constantly until the mixture thickens and bubbles, about 8-10 minutes.

Remove the saucepan from heat and stir in the vanilla extract.

In serving dishes, layer the sliced bananas and vanilla wafers.

Pour the warm pudding over the banana and wafer layers.

Let the pudding cool to room temperature, then refrigerate for at least 2 hours.