It aims to create a permanent settlement for our race on Mars and will start by sending 40 people in 2024 after 10 years of extensive training.
She has been shortlisted to make the 140million one-way journey to Mars and she believes she could be the first woman to give birth on Mars.
Miss Lieu said: "It would be incredible to be the Adam and Eve of another planet.
"Because it is a colonisation programme, it's inevitable that eventually someone will procreate and it would be incredible to be the first mother on Mars."
If successful the astrophysics PhD student at the University of Birmingham will have to contend with temperatures as low as -62C and lethal radiation levels.
Other pitfalls on Mars would include being in danger of suffocation, starvation and dehydration.
Despite this Miss Lieu, who lives in Coventry in the West Midlands, still thinks it will be possible to become a parent on the red planet.
She said: "Being the first mother on the planet would be an honour and privilege.
"It's inevitable that humans will have children on Mars and if I could be the first I would love it.
"I'm sure it would be a challenge - nobody has done any on giving birth in a low-gravity environment - but just being able to say that your baby was a Martian would be really funny.
"Being the first of anything means you go down in history. Everyone remembers Neil Armstrong and he had such a big impact of space exploration.
The first human settlers on Mars will have to learn a range of skills from medicine, agriculture, plumbing and electronics.
As well as having to grow their own food and create their own oxygen they may have to live underground to avoid extremely high radiation levels.
And despite taking up to 22 minutes to send a message from Mars to Earth and the prospect of leaving her family, Miss Lieu is not daunted.
She said: "The is one way because there are no launch pads on Mars and it would require much more than the $6 billion currently budgeted for the trip to bring us home.
"Another problem is the effect low gravity environments have on the human body.
It would be incredible to be the Adam and Eve of another planet