A slope-level-cut bucket for an excavator includes a first bucket half and a second bucket half. The bucket halves are pivotably connected to each other and movable between a closed position and an opened position. Each bucket half has an excavating edge configured to minimize bucket overlap during cutting of a sloped surface. In particular, the excavating edge includes a plurality of steps. The dimensions of the steps are selected to optimize the cutting of a desired slope of the excavating surface.