Greenpeace last week published a 15-page pamphlet expressing concern over a decision by LEGO to put Shell images on toys available at service stations operated by the energy company.
The advocacy group said Shell is building brand loyalty with the next generation of consumers, business leaders and politicians.
In a July 1 response, LEGO said it was being used as a scapegoat for Shell's operations in the arctic.
"We firmly believe that this matter must be handled between Shell and Greenpeace," the company said. "We are saddened when the LEGO brand is used as a tool in any dispute between organizations."
Turner, in his Thursday remark, said LEGO should put its commitment to the environment above its relationship with Shell.
"Royal Dutch Shell -- with its reckless Arctic drilling plans and tendency towards secrecy -- is simply not the right fit for a progressive, modern brand," he said.