In large non-aluminum kettle, combine water and lemon juice. Peel and core apples; cut into eighths and place immediately into lemon water.
Add sugar and ginger; bring mixture to boiling over high heat, stirring constantly. Reduce heat to low and cook, uncovered, 10 minutes, stirring constantly.
Meanwhile, sterilize 2 quart or 4 pint jars and the necessary lids, and bands, according to manufacturer's directions. With slotted spoon, divide apples and ginger among sterilized jars. Fill with hot syrup leaving 1/2 inch space at top of jar. Wipe rims of jars to remove any syrup and seal with lids and bands.
Process jars in boiling water bath for 20 minutes (both quarts or pints). Remove jars from water bath, tighten lids immediately, and set aside to cool completely. Label jars and store in cool, dry place.