A fitting having a bite type tube connection structure is provided with a bite type sleeve 3 in cylindrical form. The bite type sleeve 3 is formed of a primary deforming portion 32 and a secondary deforming portion 33. The primary deforming portion 32 bites into a connection tube 5 or is inserted between the fitting main body 1 and the connection tube 5 in a wedge-like fashion as a result of a first pressing force in the axial direction applied when a fastening nut 2 is fastened. The secondary deforming portion 33 is deformed by a second pressing force in the axial direction applied when the fastening nut 2 is fastened and greater than the first pressing force. When the primary deforming portion 32 bites into the connection tube 5, the connection tube 5 is temporarily held against the fitting main body 1. Then, the fastening operation is completed by fastening the fastening nut 2.
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