Missiles slammed into a building in Ghaziyeh, a Shiite town southeast of the port city of Sidon, about five minutes after the procession passed. One person was killed and five wounded in that attack, rescuers and witnesses said.
Thirty minutes later, Israeli warplanes staged four more bombing runs, destroying two buildings, said Ghaziyeh Mayor Mohammed Ghaddar. Thirteen bodies were pulled out of the rubble, he said.
Witnesses said one of the destroyed houses belonged to Sheik Mustafa Khalifeh, a cleric linked to Hizbullah, but it was unclear if he was among the casualties. Most Hizbullah officials have left their homes and offices since the offensive began nearly a month ago.
After the first strike, screams of "Allahu Akbar! (God is great)" rang out in the crowd marching with coffins. Some broke away from the procession, others continued on.
Fifteen people died in Ghaziyeh on Monday, when Israeli air strikes flattened three buildings there.
The town has been targeted several times, but Monday's and Tuesday's attacks were the heaviest. The town was overflowing with displaced people, who have swelled its population to 23,000.