Answer
Philippians 4:6
Do not be anxious about anything, but in everything by prayer and supplication with thanksgiving let your requests be made known to God.
1 Peter 5:7
Casting all your anxieties on him, because he cares for you.
John 14:27
Peace I leave with you; my peace I give to you. Not as the world gives do I give to you. Let not your hearts be troubled, neither let them be afraid.
Matthew 6:25
Therefore I tell you, do not be anxious about your life, what you will eat or what you will drink, nor about your body, what you will put on. Is not life more than food, and the body more than clothing?
1 Peter 5:7
...casting all your anxieties on him, because he cares for you.
Philippians 4:13
I can do all things through him who strengthens me.
2 Timothy 1:7
For God gave us a spirit not of fear but of power and love and self-control.
Joshua 1:9
Have I not commanded you? Be strong and courageous. Do not be frightened, and do not be dismayed, for the Lord your God is with you wherever you go.
Hebrews 13:6
So we can confidently say, “The Lord is my helper; I will not fear; what can man do to me?”
Psalm 55:22
Cast your burden on the Lord, and he will sustain you; he will never permit the righteous to be moved.
Matthew 6:34
Therefore do not be anxious about tomorrow, for tomorrow will be anxious for itself. Sufficient for the day is its own trouble.
Jeremiah 29:11
For I know the plans I have for you, declares the Lord, plans for welfare and not for evil, to give you a future and a hope.
1 Peter 5:10
And after you have suffered a little while, the God of all grace, who has called you to his eternal glory in Christ, will himself restore, confirm, strengthen, and establish you.
Isaiah 41:10
Fear not, for I am with you; be not dismayed, for I am your God; I will strengthen you, I will help you, I will uphold you with my righteous right hand.
Proverbs 12:25
Anxiety in a man's heart weighs him down, but a good word makes him glad.
Psalm 56:3
When I am afraid, I put my trust in you.
Psalm 94:19
When the cares of my heart are many, your consolations cheer my soul.
Psalm 34:4
I sought the Lord, and he answered me and delivered me from all my fears.
John 14:1
Let not your hearts be troubled. Believe in God; believe also in me.
Matthew 11:28
Come to me, all who labor and are heavy laden, and I will give you rest.
Unless otherwise noted, all Bible verses are from The Holy Bible, English Standard Version® Copyright© 2001 by Crossway Bibles, a publishing ministry of Good News Publishers.
Special thanks to OpenBible.info for the data on the most well-known Bible verses.