Abstract: A compact dual-output speed-reduction mechanism for oil well pumps includes a housing containing a chamber; a high-speed tubular input shaft having a first end portion journalled in a first housing opening, and an eccentric portion arranged in the housing chamber; a low-speed output shaft journalled within the input shaft, the output shaft having a first end portion extending outwardly of the housing beyond the input shaft first end portion, and a second end portion that extends beyond the input shaft second end portion and outwardly of the housing via a second housing opening opposite the first housing opening. A cycloidal speed-reduction mechanism arranged in the housing chamber is connected between the input shaft eccentric portion and the housing, and between the input shaft eccentric portion and a power transfer disk connected with the output shaft. At least one rotatably-driven device is connected with the two output shaft end portions.