The Toffees maintained their perfect start to the 2020/2021 season after another impressive win against Graham Potter’s men.
The in-form Dominic Calvert-Lewin had headed Everton into a 16th-minute lead but the visitors pulled back four minutes before halftime through Neal Maupay.
Yerry Mina restored the hosts’ lead after heading home James Rodriguez’s free kick in first-half injury time and the Colombia international scored twice in the second period to seal Everton's win before Yves Bissouma's late consolation.
The Italian coach believes his side deserved to beat Graham Potter’s men at Goodison Park in what he described as a ‘complete’ performance.
"Brighton played well. We played well also. We managed the situation of the game well,” the former Chelsea and Napoli boss told reporters after the game.
“We had composure defensively and had opportunities on the counter attack. The performance was complete and this was the reason we deserved to win."
Calvert-Lewin scored his sixth league goal in just four games and Ancelotti has lauded the Englishman for his goal scoring form.
He added: “There is not just one reason. He is confident, we are seeing him improving and he is scoring goals and that is the most important motivation for a striker. This is the moment of Dominic Calvert-Lewin now.
"We are optimistic now for 15 days because there is a break but then we will have a fantastic test, the most difficult test against our neighbours."