Combine mango, lime juice, orange juice, honey, cumin, garlic and salt in a blender container. Puree on medium speed until smooth. Transfer to a medium size jar.
Add oil to the mixture in the jar in a slow, steady stream while stirring continuously with a fork or small whisk.
Add finely chopped chili pepper, cilantro and black pepper. Taste and add a bit more salt, if needed.
Store in refrigerator for up to 1 week. Shake well before using.