born in amsterdam, rensenbrink started his career at dws, an amsterdam amateur club, before moving to belgian side club brugge in 1969. between 1971 and 1980 he played for anderlecht where he enjoyed his greatest club successes. in total when in belgium he twice won the belgian championships, the belgian cup five times and at european club level the european cup winners' cup twice (in 1976 and 1978 as well as being runner-up in 1977). rensenbrink delivered a notable performance in the 1976 final as anderlecht ran out 4–2 winners against west ham united. he scored two goals, one from the penalty spot and set up francois van der elst for the fourth goal. among his team mates was dutch internationalist compatriot, arie haan. in 1980, he left anderlecht and wound down his career with a spell at portland timbers in the nasl, followed by a brief stay with toulouse in france in 1981.