Unless the other joint tenant(s) participate in the transfer, only part of the property can be transferred to your trust. That is because once another person is added to legal title, they cannot be taken off by the original owner. Another consequence of transferring only part of a joint tenancy is that it can sever the joint tenancy, severing the right of survivorship. It is highly recommended that you discuss the potential implications of transferring the property with your attorney before proceeding.