Wal-Mart is facing new pressure to monitor and disclose how its international suppliers treat their workers.

At its annual shareholder meeting on Friday, the New York City pension funds, which own a small percentage of shares in Wal-Mart, plan to ask the company to require vendors to publish annual reports detailing working conditions in their factories.

Michael Garland, who oversees shareholder activism efforts as executive director for corporate governance at the city comptroller’s office, said the proposal was meant to improve workplace safety and worker rights at companies making goods for Wal-Mart, the world’s largest retailer.

“No matter how much Wal-Mart and other companies are doing, or claim they are doing, to monitor their suppliers, they just don’t have the capacity to do it in a comprehensive way,” Mr. Garland said. “They put tremendous pressure on their suppliers to cut money out of the system,” which can lead to long hours, low pay or other problems.