Alfons Lesz was born on August 2, 1925, in Poland. He started his career with Polish club Ruch Chorzow. During World War II he served with the Polish Army and played soccer for the Army XI. After the war Alfons was stationed in Scotland.

In September 1946 he joined Forres Mechanics in the Scottish Highland League. Alfie helped the Mechanics win the 1946-47 Highland League Cup. After his brilliant performances for Forres Mechanics he was signed by Scottish First Division club St. Mirren in 1947. The 5 feet 6 inches left winger played in 100 Scottish League games and scored 22 league goals for the Paisley club.

In August 1952 Alfie moved to English non-league club Worcester City. He continued to play as professional player in the Southern League. He moved to Kidderminster Harriers during the 1953-54 season. After the 1955-56 season he moved to Canada and joined the Polish White Eagles in Toronto.

In the 1956 season Alfie was instrumental in leading the White Eagles to both the League Championship and winning the Carling Cup, emblematic of the NSL play off champions. He played on the Eagles’ forward line together with former St. Mirren inside forward Willie McMaster.

The following season the White Eagles finished in second place in the 1957 NSL final standings. Alfie played for the Ontario All-Stars against Tottenham Hotspur on Saturday May 25, 1957. The English tourists won 7-0 in front of 9,000 soccer fans in Toronto.

On May 23, 1958 he was picked for the Ontario All-Star team that played against Heart of Midlothian. The Scottish tourists won 6-0 at Varsity Stadium in Toronto.

After a fourth place finish in the final standings of the 1958 National Soccer League championship, the White Eagles struggled through the 1959 NSL season. They spent long parts of the season in the last place of the standings, and finished the season in 13th place in the 14 team league.

The tricky left winger was picked to represent the Ontario All-Stars against Russian club Zenit Leningrad on August 27, 1960. The Russians won 4-2 at Varsity Stadium in Toronto.

After finishing the 1961 NSL season in third place in the final standings, the desire for the Polish club to become members of the ECPSL led to a move to Buffalo for the 1962 season. Alfie however, spent the 1962 season playing for Ulster United in the National Soccer League.

At the end of his soccer career Alfie settled in Etobicoke in Toronto.