Both Nigeria stars have featured in all three championship conquests and their club will again battle next season in the UEFA Champions League.
This season, defensive midfielder Ogu has scored three goals in 27 appearances, while compatriot Nwakaeme netted 10 goals in 27 games.
“3 in a row!’ Ogu tweeted.
Despite losing 1-0 to Maccabi Tel Aviv on Saturday, Barak Bakhar’s men are seven points adrift of second-placed Beitar Jerusalem with two games remaining in the Israeli top-flight.
Hapoel Beer Sheva who have 74 points from 34 games, retained the league title at the Turner Stadium after the Menorah’s 3-3 draw with Bnei Yehuda on Saturday.
The championship playoffs will end on May 21.