Test the soil's salinity, or salt level, to give a baseline measure. Handheld electronic saline testers are available for between $100 and $300 in 2011. The test allows you to know if your actions are working as you desire.
Flood the area with water. As the water soaks into the soil and drains away, it also removes salts. Do this 4 to 5 times over a week and remeasure the salinity to see how much salt has been removed.
Continue to flood the area on a periodic basis if you want the salt to be minimized. There is no effective way to permanently remove the salt from the soil. Small areas, such as backyard gardens, will benefit from adding lime and compost to the soil by balancing the salts and creating a more neutral soil condition, but these eventually have to be renewed also.