TOKYO—Honda Motor Co. said Tuesday that its earnings rose 20% in the latest quarter, when it benefited from growth in global auto sales, but was held back by delayed model introductions.

In the April-June quarter, net income rose to ¥146.5 billion ($1.44 billion) from ¥122.50 billion a year earlier, while sales grew 5.4% to ¥2.988 trillion,…