Lewis Hopkins poured in 20 points and Wykeen Kelly scored 11 while also pulling down 11 rebounds for Apoel (2-1) in an 81-66 Group H victory over the Dutch outfit.
Important blows were landed early in the third quarter after a Jerome Beasley hook shot for EiffelTowers had trimmed the home side's advantage to 45-42.
Hopkins responded by sinking two free-throws and then making a lay-up to start a 9-2 Apoel run which left the Cypriot club with a 54-44 advantage.
The team from the Netherlands tried to keep the game close.
Kees Akerboom's three-ball trimmed the deficit to 56-49 with 3:29 to go in the third quarter.
Apoel answered with Kelly connecting from behind the arc and Milan Dozet making four straight free-throws for a 63-49 lead.
EiffelTowers got no closer than 10 points the rest of the way.
Apoel finished nine of 29 (31%) from behind the arc compared to Den Bosch's six of 24 (25%).
From two-point range, the hosts were 21 of 39 (53.8%) while EiffelTowers made 19 of 45 (42.2%).
The Dutch team is 1-2.
EiffelTowers oach, Donald Beck:
"We played well in the first quarter; the third quarter was crucial and the game was decided then. We could have trimmed the difference down a bit. We will try to do a better job next time."
EiffelTowers player, Dean Oliver:
"The second half was crucial. APOEL were aggressive and we have to give them credit. They made a lot of big shots and they kept the lead in the second half."
APOEL coach, Christos Stylianides:
I want to congratulate both teams. We controlled the game for the biggest part of the game. In the first half we lost a lot of rebounds but in the second half we corrected our mistakes. All games are hard and we still have to work hard."
APOEL player, Gerben Van Dorpe:
"The second half was the most important for us. We lost a lot of rebounds in the first half. In the second half we became more aggressive on defense. We will keep working hard."