Sergei Chernukha, head of the truck maker's marketing department, said Kamaz had sold 7,578 trucks in the first three months of 2006, a 28.5% increase on the same period last year.
Company sales targets for 2006 were originally 34,000 trucks, against 32,000 in 2005. Kamaz aims to bring annual production up to 60,000 vehicles within five years.
Chernukha also said truck exports to markets including Ukraine, Kazakhstan, Bahrain, Sudan and Vietnam "have increased significantly" in the last two years.
"We export about one third as much as we sell on the domestic market," he said.
Russia's economics minister said in the beginning of April that the government was considering selling its 34.01% stake in Kamaz on the stock exchange. The company announced earlier that it was planning an IPO for mid-2007.