Career
Smith began playing football in the Liga Nacional de Fútbol de Honduras with Marathón and Real España. In 1988, he moved abroad to play in Mexico with Correcaminos UAT. He would spend four seasons in the Mexican Primera División with Correcaminos and Club Universidad de Guadalajara. He also had a six-month spell with Central America
Richardson Smith made his debut for Honduras in the 1980s and has earned over 30 caps, scoring 11 goals.
He played as a defender in his last match, covering for an injury to Luis Pineda, in a 3–1 Fédération internationale de football association World Cup qualification loss against Mexico on 6 November 1996.
He lost the ball on the edge of the area which led to a Mexico goal, and fans attacked his house in San Pedro Sula with stones and fireworks after the match. The incident prompted him to announce his retirement from the national team
International goals
After retiring as a player, Richardson Smith was assistant-coach at several clubs and became manager of Municipal Valencia for the 2004 Apertura season. After spending time in the United States of America as a youth team coach at Evergreen United and Juventus Strikers, he was named as possible manager of Deportes Savio in December 2012.
As of August 2015, he was still working with children in the United States of America.