An intravenous catheter anchoring assembly is disclosed and includes a patient-contacting membrane, a platform, and a retaining strap for securing a catheter or tubing of an administration set to a patient. The strap is attached to the platform with adjustable pull-tabs that permit a variety of catheter shapes and sizes to be secured. The strap is also elastomeric so that the strap is stretchable and thereby grabs the secured catheter. The strap and platform further define a plurality of passageways that permit the catheter to be secured in a plurality of non-aligned directions.