Lucas caught a 50-yard touchdown pass from Gibran Hamdan midway through the third quarter to set the record and give the Admirals a 35-21 lead. He finished with 120 yards on six catches, with touchdown catches of 10, 5 and 19 yards.
Lucas spent time in 2005 with San Jose of the Arena League. He is the fourth NFL Europe player to score four times in a game. The other three were running backs.
"It means a lot because it just goes to show hard work pays off," said Lucas. "As an offense we work hard all week long, staying after practice running routes, getting the little things down and it paid off tonight. I caught four touchdowns but if everybody else wasn't doing their job than I wouldn't have caught those touchdowns."
The Admirals (3-1) meet the Rhein Fire (4-0) in Week Five in a clash of the league's top two teams in Amsterdam. The two teams will meet again in Düsseldorf at Rhein's LTU arena.
The Yello Strom World Bowl XIV is set for May 27.
For Berlin (1-2-1), Packers quarterback Brian Wrobel was 5-for-12 passing for 47 yards and a touchdown in a relief role. He also had four runs for 24 yards, including a 4-yard touchdown.
Packers guard Pete Traynor and cornerback Therrian Fontenot started for the Rhein Fire in a 31-21 victory over Hamburg (0-3-1).