Whisk 2 tablespoons vinegar, 2 tablespoons mustard, 1 tablespoon honey, ½ teaspoon garlic and ½ teaspoon salt together in a large bowl; gradually add 2 tablespoons oil, whisking constantly.
Add rinsed cannellini beans, rinsed chickpeas, minced bell pepper and ¼ cup shallots to the honey-mustard mixture; toss gently to coat.