Poulsen played three years of varsity baseball at Birmingham High School in Los Angeles, where he helped his team won the championship of the West Valley League each of those three years, being named a first-team all-star in the league and third-team all-star on the All-City team. He was selected by the Boston Red Sox in the third round of the 1965 MLB draft, and played in the minor leagues in 1966 for the Winston-Salem Red Sox in the Class ACarolina League, batting.238 in 110 games with 11 home runs and 49 RBIs. In 1967, Poulsen played 73 games with Winston-Salem, and 19 games for the Double-APittsfield Red Sox. He gained a promotion to Boston as a replacement for infielder Dalton Jones, who had to report for two weeks of Army Reserve duty; the departure of Jones reflected a common occurrence during the Vietnam War era. Poulsen made his major league debut on July 3, 1967, and appeared in five games with the Red Sox. He had one hit in five at-bats for a.200 average. He also made three fielding appearances; twice at third base and once at shortstop, recording a.667 fielding percentage. He played his final MLB game on July 14, 1967. The Red Sox would go on to win the American League title, in a season known as "The Impossible Dream". Following his brief stint in the majors, Poulsen returned to the minor leagues. From 1968 through 1973, he played in the farm system of the New York Yankees, where he experienced some success as a pitcher, posting two seasons with a winning record; 1971 with the Class A Kinston Indians and 1972 with the Double-A West Haven Yankees. Overall as a minor league pitcher, Poulsen had a 33–34 record in 109 games with a 3.02 ERA. As a minor league hitter, he had a.233 average with 37 home runs and 153 RBIs, recorded in 497 games played during eight seasons. Poulsen died in Fresno, California, on December 28, 2017. In July 2019, the Red Sox recognized Poulsen's contribution, albeit only during five games, to their 1967 pennant-winning season by presenting his family with a commemorative ring in a ceremony at Fenway Park.