The headphone band is fitted with a flexible solar cell with a charge capacity of 0.55 watts.
"The headphones have an integrated flexible solar cell that covers the full headband which capture solar energy whilst out and about," Anderson said on Kickstarter.
"The energy is stored in two light-weight Lithium Ion batteries held within the two ear cups for a balanced weight and fit on the head.
"For those rainy days we have also developed the headphones to be able to be charged via USB directly from your computer or mains socket," he said.
Anderson hopes to raise 200,000 pounds to get the headphones into production.
"We are still working on the design and prototype. We need to improve the headphones - people want to know about noise cancellation," he told the BBC.
He admitted that his father Frank had come up with the idea.
"It's really simple - you would think it had already been done. You can buy solar chargers for phones but the thing is it's like you're carrying two phones around," he said.