Wash, drain and trim asparagus; cut into 5-3/4-in. spears (discard ends or save for another use). Pack asparagus into five 1-quart jars to within 1/2 in. of top. Place 1 tablespoon dill seed and 1 teaspoon pickling spices in each jar.
In a Dutch oven, bring water, vinegar, sugar and salt to a boil. Carefully ladle hot liquid over asparagus mixture, leaving 1/2-in. headspace. Remove air bubbles and adjust headspace, if necessary, by adding hot mixture. Wipe rims. Center lids on jars; screw on bands until fingertip tight.
Place jars into canner with simmering water, ensuring that they are completely covered with water. Bring to a boil; process for 15 minutes. Remove jars and cool.