A specimen collection container having an improved sealing mechanism that provides enhanced sealing properties during transport, storage, and handling. The specimen collection container comprises a cup, cap and improved sealing mechanism. The sealing mechanism forms multiple seals between the cup and cap. In a preferred embodiment, the sealing mechanism forms primary, secondary and tertiary seals between the cap the cup. The primary and secondary seals are preferably formed between the cap and the interior surface of the cup. The tertiary seal is preferably formed between the cap and the distal edge of the cup. The first, second and third seals are sequentially formed as the cap is rotated from a first radial position at which the threads first engage each other to a second radial location at which the cap is fully closed. Each of the three seals on its own is capable of sealing the container and preventing a fluid specimen from leaking from the cup if the seal is maintained. The primary and secondary seals are constructed and arranged to seal the cup after the cup and cap are threadingly engaged independent of the amount of torque applied to the cap.