A vibration damping connector system to connect between a vacuum chamber and a vacuum pump such that the vacuum pump is supported by the vibration damping connector system includes a first cylindrical member and a second cylindrical member that provide a flow passage through which gas can flow from the vacuum chamber to the vacuum pump. At least one sealing member is disposed intermediate the first and second cylindrical members to provide a gas seal and a securing system securely connect the first and second cylindrical members. At least one resilient member disposed intermediate the securing system and a cylindrical member so that when the at least one sealing member is compressed by a pressure reduction caused in use by operation of the vacuum pump, the at least one resilient member can expand to enable the securing system to maintain a secure connection.