In this article (attached), you can note that researchers conserved their antioxidant enzymes in −20 °C to minimize their activities, and prevent their degradation process.
Dear Tabassum, I agree with Kevin. In our laboratory, we try to finish measurements within 6 months, however, there is a lot of data suggesting that enzymes will not change significantly up to one year if they are stored properly and at -80 C.
Effect of storage temperature on enzyme activity and antioxidant capacity have been discussed in this article which deals with plant. you may have a look: http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1027-152X2015000300002