This simple side dish is just what you need when serving a rich main course.
Place baby red potatoes in a large saucepan; add enough water to cover by 1 inch. Bring to a boil; add coarse salt, and cook until potatoes are tender, 15 to 20 minutes. Remove with a slotted spoon; slice in half.
Add green beans to boiling water; cover, and cook until crisp-tender, 4 to 6 minutes. Drain; transfer vegetables to a medium bowl. Add butter; season with salt and ground pepper. Toss.