Build a rigid backbone through the core of the building with solid, concrete walls
Solid concrete walls, also called shear-walls, have great stiffness in the horizontal direction. This means that when the ground moves back and forth during an earthquake, the shear backbone of your skyscraper will keep it standing strong and firm.
The First Interstate World Center in Los Angeles, the tallest building in the world in a major earthquake zone, has a solid concrete core right up the center of the building. This design allows it to withstand an earthquake with a magnitude of 8.3 on the Richter scale! Great job!