Cut ends from beans; remove strings, if necessary. Pack beans vertically into 4 hot sterilized jars. Place 1/4 teaspoon red pepper, 1 clove garlic, and 1 1/2 tablespoons dill seeds in each of 4 jars.
Combine vinegar, water, and salt in a medium-size stainless steel saucepan; bring to a boil, and pour over beans, leaving 1/2- inch head space. Remove air bubbles. Cover with metal lids, and screw bands tight. Process in boiling-water bath 10 minutes.