This paper reports an analytical analysis of g-jitter induced flows in microgravity under the influence of a transverse magnetic field. The analysis is carried out for a simple system consisting of two parallel plates held at different temperatures. A single component of time harmonic g-jitter is considered. General solutions are obtained for the velocity profile with a combined effect of oscillating g-jitter driving force and induced Lorentz force, the latter resulting from an application of a transverse magnetic field. Various limiting cases are examined based on the general solutions. Detailed calculations are also provided. Results show that the g-jitter frequency, applied magnetic fields and temperature gradients all contribute to affect the convective flow. It is found that the amplitude of the velocity decreases at a rate inversely proportional to the g-jitter frequency and with increase in the applied magnetic field. The induced flow oscillates at the same frequency as the affecting g-jitter, but out of a phase angle. The phase angle is a function of geometry, applied magnetic field, temperature gradient and frequency. While a magnetic held can be applied to suppress oscillating flows associated with g-jitter,it is more effective in damping low frequency flows but only has a moderate damping effect on the flow induced by high frequency g-jitter. The temperature gradient also has a profound effect on the g-jitter induced flow. The oscillating velocity profile evolves from a single wave to a half wave across the channel and the maximum magnitude of the velocity increases as much as a factor of three as the wall temperature parameter increases. The wall electric conditions also affect the hows and stronger damping effects occur when the walls are electrically conducting.