The non-binding poll to help NASA select a name opens online Monday, Mar 23, and will accept votes through Mar 29.
More than 9,000 students in kindergarten through 12th grades submitted essays proposing names for the rover in a nationwide contest that ended Jan 25.
Entries came from all 50 states, Puerto Rico and the families of American service personnel overseas.
NASA will select the winning name, based on a student's essay and the public poll, and announce the name in April.
"The names that students proposed range from heroes to animals and bugs," said Michelle Viotti, manager of the Mars Public Engagement program at NASA's Jet Propulsion Laboratory, or JPL, in Pasadena, California.
"No matter what name is finally chosen, this is a mission for everyone, and we can't wait to start calling this rover by name," Viotti added.
The student who submitted the winning name will be invited to JPL to sign the rover. Additionally, all 30 student semi-finalists in the naming contest will have an opportunity to place an individually-tailored message on the chip.
For worldwide participation beyond the contest, the public has a chance to participate in "Send Your Name to Mars."
The agency will collect names to be recorded on a microchip that will be carried on the car-sized robotic explorer.
The naming contest is part of a Space Act Agreement between NASA and Disney. Walt Disney Studios Motion Pictures is the prize provider for the contest.
Scheduled to launch in 2011 and land on Mars in 2012, the rover will use a set of advanced science instruments to check whether the environment in a selected landing region ever has been favorable for supporting microbial life and preserving evidence of such life.
The rover also will search for minerals that formed in the presence of water and look for chemical building blocks of life.