President Donald Trump pulled out of the Paris climate change deal, but big money investors, such as Singapore wealth fund Temasek, said they're continuing to go green.

Robin Hu, head of the sustainability and stewardship group at Temasek, told CNBC's "The Rundown" on Monday that going green was just good business.

"If you are sitting on the board, whether as a director or an independent director, you must be caring about not just profit, but also the community that you belong to," Hu said on the sidelines of the Ecosperity conference in Singapore on Monday.

"You can not be a sustainable business if you are doing harm to the world around you."

Temasek had a portfolio of around 242 billion Singapore dollars ($175.20 billion) at the end of March.

In a controversial move last week, Trump said the U.S. would withdraw from the Paris climate agreement, saying he wanted a more "fair" deal for American businesses and workers. Globally, there are now only three countries that haven't signed onto the deal: The U.S., Nicaragua and Syria.

That decision spurred an immediate outcry.

Former U.S. Vice President and long-time environmental activist Al Gore said on "Meet the Press" on Sunday, referring to Trump's vow to bring back coal jobs, "Promising to recreate the 19th century is not a visionary strategy for a successful 21st century."