A number of near-term precision space-science instruments have baselined the use of miniature long-life space Stirling-cycle cryocoolers. In support of these instruments, JPL is conducting an extensive cooler characterization test and analysis program focused at developing special sensitive performance measurement techniques and identifying means of improving cooler performance. This paper provides a summary overview of the vibration characteristics of split Stirling cryocoolers of the Oxford type and describes means being developed to achieve vibration levels consistent with the exacting requirements of sensitive infrared spectrometer instruments currently under development for NASA applications. A key emphasis of the paper is on exploring both active and passive means of reducing the residual upper harmonics of the drive frequency that remain with nulled back-to-back compressor and displacer units. Vibration supression results, measured with JPL’s unique 6-degree-of-freedom force dynamometer, are presented for the 80K Stirling cooler manufactured by British Aerospace.