There are a number of password iPhone apps that allow you to hide videos, photos, texts, contacts and other information with a password. Here's a list of the best iphone password apps to help you keep videos, photos and other files password protected.
#1 - My Secret Folder - Best app for password protecting photos, video, text notes, contacts and bookmarks. Create secret notes for passwords and messages, manage secret bookmarks and browse the web in secret. Also the app detects break-in attempts and logs them by GPS and takes a snapshot of the offender so you can catch nosey partners.
#2 - Lock Photo+Video, Docs+Audio+Notes- Allows you to hide your secret photos, videos, voice recording, notes, documents and other files (including PDF, Text(can be created and edited), PowerPoint, Word, Excel, Html, Pages, etc.).
#3 - My Secret Apps - Passcode lock photos and video, private web browser, secure notes and badge alerts tell you about break-in attempts.
#4 - Lock My Folder - Password protect your photos and video on your iphone, ipad or ipod touch. Additional functionality is planned for free future updates, which include Notes, Contacts, and Bookmarks.
NOTE: I would highly recommend that you make a backup copy of any videos or other files you add to these password lock apps to your computer (or an external drive), just in case something happens to the app (such as an uninstall) and it erases your video files.