Unroll black plastic over the parts of the lawn you want to get rid of. Consider how the lawn will look if you're only removing parts of it; removing random sections of grass, for example, will look very bad. Cut the plastic from the roll using scissors. Secure the plastic using bricks.
Remove the plastic in six months. Recycle it at a recycling station.
Break up the ground using a shovel and turn the soil to bury the matted, dead grass.
Cover the ground with a substance, such as stones or mulch, to prevent plant regrowth. Smooth the dirt out using a rake so that it appears level, then apply your cover. Pour mulch onto the dirt or onto black plastic, for example, then level it out with a rake. You can also cover the ground with small stones, or use larger stones or bricks to form walkways. Dig a hole in the dirt and insert the stone if you want it level with the ground's surface, or place it on the patch of earth wherever you'd like.