Grosvenor ramped up performance following geotechnical challenges in 2017 and Moranbah North's production also improved following strong operational performance, and due to the timing of longwall moves.
Grosvenor has had its highest quarter of production as it completes its ramp up, producing 1.34 Mt in the June quarter.
The mine's improved performance vindicates Anglo CEO Mark Cutifani's decision to reverse the company's strategic exit out of coal.
"We have delivered another strong performance, with copper and metallurgical coal in particular driving a 6% increase in production," Cutifani said. "This reflects our consistent and relentless focus on driving efficiency and productivity from our existing world class asset base."
Moranbah North was a big improver over the past 12 months, with Anglo American's share of production being 1Mt, 55% higher than the corresponding period.
Grosvenor is closely followed in the production stakes by Anglo Capcoal complex in Queensland, which includes the high performing Grasstree longwall mine.
The Capcoal complex reported Anglo American share of production of 1.32 Mt for the June quarter.