Christians often struggle with the dual reality that the Bible calls on us not to worry yet they still have problems controlling their worry. I think the Bible talks about worry and fears because God knew that this would be a difficult issue. There are many ways to approach dealing with anxiety and one way I think can be helpful for believers to turn to scripture. To make it more helpful, you should expand beyond the verses that just tell us not to worry. I listed some verses (most are NASB translation) below and have a handout. If you would like a copy, email me at jennifer@familysolutionsok.com. 

You likely know the scriptures about not worrying.

“Don’t let your heart be troubled, believe in God, believe also in Me.” John 14:1

Peace I leave with you; My peace I give to you; not as the world gives do I give to you. Do not let your heart be troubled, nor let it be fearful. John 14:27

And He said to His disciples, “For this reason I say to you, do not worry about your life, as to what you will eat; nor for your body, as to what you will put on. Luke 12:22

And which of you by worrying can add a single hour to his life’s span? If then you cannot do even a very little thing, why do you worry about other matters? Luke 12:35-26

Who of you by worrying can add a single hour to his life? Matthew 6:27

So do not worry about tomorrow; for tomorrow will care for itself. Each day has enough trouble of its own. Matthew 6:34

But it also helps to remember that God loves you and has promised to care for you.
Now may the Lord of peace Himself continually grant you peace in every circumstance. The Lord be with you all! 2 Thessalonian 3:16

“I will never desert you, nor will I ever forsake you.” Hebrews 13:5b

You drew near when I called on You; You said, “Do not fear!” Lamentations 3:57

…but the Father knows that you need these things. Luke 12: 30b

For this reason I say to you, do not be worried about your life, as to what you will eat or what you will drink; nor for your body, as to what you will put on. Is not life more than food, and the body more than clothing? Look at the birds of the air, that they do not sow, nor reap nor gather into barns, and yet your heavenly Father feeds them. Are you not worth much more than they? Matthew 6:25-26

God is our refuge and strength, a very present help in trouble. Therefore we will not fear, though the earth should change and though the mountains slip into the heart of the sea; though its waters roar and foam, though the mountains quake at its swelling pride. Psalm 46:1-2

He only is my rock and my salvation, my stronghold; I shall not be shaken. Psalms 62:6

And we know that God causes all things to work together for good to those who love God, to those who are called according to His purpose. Romans 8:28

But in all these things we overwhelmingly conquer through Him who loved us. For I am convinced that neither death, nor life, nor angels, nor principalities, nor things present, nor things to come, nor powers, nor height, nor depth, nor any other created thing, will be able to separate us from the love of God, which is in Christ Jesus our Lord. Romans 8:37-39

The Bible tells us that God will protect and help us in our times of worry and fear.
No temptation has overtaken you but such as is common to man; and God is faithful, who will not allow you to be tempted beyond what you are able, but with the temptation will provide the way of escape also, so that you will be able to endure it. 1 Corinthians 10:13

And He has said to me, “My grace is sufficient for you, for power is perfected in weakness.” Therefore, I will rather boast about my weaknesses, so that the power of Christ may dwell in me. 2 Corinthians 12: 9

But the Lord is faithful, and He will strengthen and protect you from the evil one. 2 Thessalonians 3:3

Do not fear, for I am with you; do not anxiously look about you, for I am your God. I will strengthen you. Surely I will help you. Surely I will uphold you with My righteous right hand. Isaiah 41:10

If I should say, “My foot has slipped.” Your lovingkindness, O Lord, will hold me up. When my anxious inner thoughts becoming overwhelming, your comfort encourages me. Psalms 94:18 -19

You are promised that you will endure.
Therefore we do not lose heart, but though our outer man is decaying, yet our inner man is being renewed day by day. For momentary, light affliction is producing for us an eternal weight of glory far beyond all comparison, while we look not at the things which are seen, but at the things which are not seen; for the things which are seen are temporal, but the things which are not seen are eternal. 2 Corinthians 4:16-18

These things I have spoken to you, so that in Me you may have peace. In the world you have tribulation, but take courage; I have overcome the world. John 16:33

Blessed is the one who perseveres under trial because, having stood the test, that person will receive the crown of life that the Lord has promised to those who love him. James1:13

The Bible tells us how to cope with your worry. 
Be anxious for nothing, but in everything by prayer and supplication with thanksgiving let your requests be made known to God. Philippians 4:6

I sought the Lord, and He answered me, and delivered me from all my fears. Psalms 34:4

When I am afraid, I will put my trust in you. Psalms 56:3

Cast all your anxiety on Him, because He cares for you. 1 Peter 5:7

Hope these can help,
-Jennifer