Sweep the area around the rust stains and remove all dirt and debris.
Pour enough commercial rust remover on the area to cover the stain and then gently brush the stain with brass bristles. Some compounds, such as those containing oxalic acid, are poisonous to plants and should be kept away from the lawn. Check the label and only use the rust remover in accordance with the instructions.
Leave the rust remover on the stain. The exact length of time depends upon the chemical you are using and the directions for the cleaning compound. Wash the chemical away with a power washer. Check to see if the stain is gone. Some stains take several applications before the mark is completely removed.
Create a paste for stains that have soaked deeply into the concrete, according to the Department of Water of Western Australia. Mix one part ammonium citrate or sodium citrate with six parts warm water and six parts glycerine. Wet the stained area and apply the paste around the stain by using a garden trowel. Cover it with a damp cloth and leave it on the stain for two to three days. Rinse throughly with water after removing the paste.