That's a pretty broad question. Steel, concrete? Generally speaking the concepts are the same as low rise but it gets harder and harder to control drift (height^2) so moment frames are usually out except maybe a dual system. As you get taller you'll want to engage more and more of your overall building - both to increase your 'd' and to counteract tension. This is typically done via outriggers, coupling beams, or both. If it's concrete you also need to pay more attention to cracking of the walls and outrigger elements. Above maybe 30 stories you'd want to start looking at building accelerations (and column shortening).
Stiffening the bottom of the building is your friend, minimizing that base rotation has an outsized affect because of the amplified affect way up a the top stories.