There are nearly 4,000 possible names but leading the pack is "Boaty McBoatface" with 18,000 votes.
>> Read more trending stories
"We've had thousands of suggestions made on the website since we officially launched," Alison Robinson, of the NERC, told The Guardian. "Many of them reflect the importance of the ship's scientific role by celebrating great British explorers and scientists. Others are more unusual but we're pleased that people are embracing the idea in a spirit of fun."
"RRS Coldtrouser," "RRS Its Bloody Cold Here," and "RRS Thanks for all the Fish" are some of the other more amusing names submitted.
The contest is so popular it slowed down the group's website Sunday.
Don't worry, suggestions are being accepted through April 16.