An intravenous line connection support device holds an intravenous connection port in a static position relative to a static structure or patient to facilitate connection to the port. The device includes a support flange coupled to and extending from a base. A connection post is coupled to and extends from the base. A slit extends into the connection post defining a pair of spaced arms. Opposite faces of the spaced arms include concavely arcuate portions defining a receiver within the slit configured for receiving a connection port of an intravenous line therein. A fastener has a head and a shaft. The shaft extends through the arms and across the slit. The shaft engages the arms such that movement of the shaft selectively urges the arms together and apart wherein the fastener is configured for securing the connection port within the receiver.