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I am looking for a password manager that works on iOS and OS X (and syncs passwords between those) that is open-source.
Currently, I use mSecure on my iPhone, but I would like to switch to an open-source option.
Most notably KeePassX (port of KeePass) is released under the terms of the GNU General Public License.
It doesn't have a direct port to iOS, but the database format is standard across KeePass-family and you can use another client for iOS, like MiniKeePass (also GNU General Public License).
Maybe you can use apple's iCloud KeyChain? it is available on both OS and makes everything by itself... You can manage all the passwords from the KeyChain Access Application in OSX...