Apply an insecticide to the soil, if that is what caused your grass to die. Use only an insecticide rated for the specific pest in your lawn and follow all package directions during application.
Fill in any low spots in the yard with topsoil. If you have a severe drainage problem that leads to constant standing water, install a drainage system in the lawn.
Rake the lawn with a spring tine rake to remove dead thatch and rotting roots. Discard the material in the compost pile. This will increase air circulation to the soil and also increases seed-soil contact during reseeding.
Reseed the lawn in the spring or fall with a grass species that will tolerate your lawn's conditions. If your lawn died because of drought, select a drought and heat tolerant species. Use a grass seed spreader to spread the seed over the lawn in even rows at the rate instructed on the seed bag.
Water the seed in with a low pressure garden hose. Continue watering frequently enough to keep the soil moist, which will increase germination.
Apply a nitrogen-rich lawn fertilizer in mid to late spring. Mow the lawn frequently enough to keep it at 3 inches. This encourages deep root growth and shades out weeds.