This article presents a classical-Marxian model of catching up wherein the leader country employs a technique with higher labor productivity and lower capital productivity than the follower’s technique. The follower’s higher profit rate allows for faster capital accumulation than the leader’s. During the catching up phase, labor productivity rises while capital productivity and profit rate decline in the follower country. In addition, we discuss some stylized facts of catching up in China, Japan, and India in relation to the United States between 1980 and 2014. Catching up occurred when capital accumulation was higher in the followers. However, a high capital accumulation in the follower country can reduce capital productivity and profit rate to a level lower than the leader’s, putting the process at risk.