The invention is a new and distinct pear tree variety denominated ‘HW624’. The new pear tree is characterized by producing heavy crops of medium-to large-sized fruit, picked about 2 weeks after ‘Bartlett’. Fruits are green when harvested, turning yellow as fruits ripen, and there is a medium red blush where exposed to the sun. There were no natural fire blight infections on the seedling tree, and results from controlled inoculations indicate a high level of resistance to fire blight. The tree is also highly resistant to pear psylla.