A sterile connection apparatus is provided for enabling the connection of a first tube to a transfer tube of a medical solution container. The apparatus includes a housing having a cover portion which is adapted for interfitting with a base portion to provide a substantially closed interior volume. The first tube and the transfer tube of the medical solution container are introduced within the interior volume and the housing carries means located therewithin and operable from the outside of the housing for enabling manipulation of one of the tubes. In this manner, the first tube may be disconnected from and/or connected to the transfer tube. Means are provided for sterilizing the tubes within the substantially closed interior volume.