Some of the United States’ biggest pension funds will vote against the re-election of Woodside Energy chairman Richard Goyder this week amid a stoush between the oil and gas giant and environmental activists over the company’s climate strategy.

California’s CalSTRS and CalPERS, which manage around $US800 billion ($1.2 billion) for the state’s public teachers and employees, have cast their votes against Mr Goyder’s re-election ahead of a shareholder meeting on Wednesday.