In this paper, a new tool to be placed in the bottomhole assembly (BHA) is introduced for the purpose of counteracting heave-induced down-hole pressure oscillations in offshore drilling. The tool contains a control choke, sensors and computing capability, and will operate autonomously with minimal implications for standard drilling procedures. A small-scale prototype is developed and successfully tested in laboratory experiments showing significant reduction in down-hole pressure oscillations. Realistic, full-scale cases investigated using computer simulations also show good performance. The paper gives a description of the small-scale lab as well as the mathematical model used for the computer simulations. A full-size autonomous choke prototype is currently being constructed for further testing under more realistic conditions. Design aspects of the prototype are presented in the paper.