Migdal-Oz (Mig-DAHL Ohz) is מִגְדַּל עֹז in Hebrew. It means "Tower of Strength" or "Strong Tower. The name describes God as a strong tower or fortress that protects His people. It is best known being used in Proverbs 18:10. God is the absolute place for safety. Unlike man made protection, He is secure. His defense will not fail.
The first time Migdal-Oz was used was in Judges. In those days cities had tall thick walls to protect them. When they called God the name Migdal-Oz they recognized His importance in their lives to keep them safe and protected. Nothing and no one can get past God's protection. When you are protected by God you are heavily fortified. He is the first and final refuge for your life and soul.
When you pray using the name Migdal-Oz you are seeking God's secure defense. You trust Him to be your safe place. Like a child you go to Him as your hiding spot from the world. You cry out to Him when you need a little hope. He is the foundation of your faith. If you believe that, then you can trust that He will take care of your problems. He will take care of your spiritual and emotional needs. At times He will deliver on your physical needs, but your are stronger when your spiritual and emotional needs are taken care of.
Migdal-Oz is your personal refuge, but He should not be used until you are desperate or in despair. God to Him before things get bad. It will help you navigate your part much easier. Sometimes He just wants you to rest in your faith and let Him handle it altogether. Other times, He will direct you to do a small part in a bigger picture. Remember that if you are under His protection and following obediently, then there is nothing to fear. God is your advantage point in your battle or struggle.
Judges 9:50-53, Psalms 61:1-4, Proverbs 18:10