Hazard scored with a sixth-minute penalty kick he earned by being tripped, and Lukaku angled a low, left-foot shot into the corner of the opposing goal.
Romelu Lukaku and Eden Hazard became only the fifth pair of teammates to each score two goals under the World Cup's current format as Belgium moved closer to securing passage to the knockout rounds with an easy 5-2 dismissal of Tunisia in Moscow.
Tunisia hit back two minutes later with a Dylan Bronn header as Belgium's own sometimes shaky defending was exposed but another misplaced Tunisian pass enabled Thomas Meunier to feed his goal-hungry striker as Lukaku clipped in to make it 3-1 in stoppage time.
Belgium and England clash next Thursday in their final Group G match in Kaliningrad in a contest likely to decide the pool victor. Ronaldo has scored four goals in Portugal's first two games.
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Mark RALSTON / AFP Iceland's defender Kari Arnason (C) falls past Nigeria's midfielder John Obi Mikel . Needless to say, Nigerians were ecstatic at the stadium and across social media with their team's win.
Hazard won the penalty when he was brought down by Tunisia's Syam Ben Youssef on the edge of the area.
Belgium coach Roberto Martinez will field the same starting XI which beat Panama 3-0 on Monday, hoping for three points that would all but qualify his side for the next round before they face England on Thursday. But this World Cup is over for injured goalkeeper Mouez Hassen, so Farouk Ben Mustapha will feature against Belgium.
Only in the 90th minute, after Youri Tielemans found him in the box, did Batshuayi tally his first World Cup goal, and Khazri answered in the 93rd minute, moments before the full-time whistle. Meanwhile, Tunisia has made one change Khaoui replaces Sliti in the playing eleven.