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Tezra Finn-Jonstron, 31, and his girlfriend Emily Derrick, 23, said they had noticed their daughter Lula was strong shortly after leaving hospital, and were impressed by the fact she could support her own head from such an early stage.
But they never expected her to be able to stand so soon.
The first-time dad from Kingswood, Bristol said: "When she was about a month old, she was having a tantrum and I tried to sit her on my knee to calm her.
"Instead of sitting down, she just stood on my knee and wouldn't bend her legs.
"She did it a few more times later on in the weeks - eventually I thought, 'well if she can do it while she's annoyed, maybe she can do it when she's happy'.
"I tried to hold her and supported her, and she managed to take her own weight.
"Everyone seems to think that it's unusual that she can hold herself up, even just sitting, let alone standing."
Tezra said that, baffled, he had even asked his mum whether he or any of his three siblings had managed to do the same at Lula's age.
But she told them they hadn't - little Lula really is one of a kind.
"From everything I'm reading, it should be about nine months to a year that they should be able to support their own weight," he added.
The pair first noticed this when they brought Lula home from the hospital, five days after she was born.
Tezra said: "Pretty much from the day we left hospital she was able to support her head a little bit more than we thought she should be able to.
"She was holding it up for a few seconds and that shouldn't be for a few weeks, but pretty much straight away she was able to do that.
"Then we watched this Babies documentary on Netflix and on there they said babies are inherently programmed to crawl from birth.
"So I put her down on the mat and she was trying to crawl a bit.
"Then I put my arm behind her and she was able to push herself up the mat - propelling herself from my hand with her legs.
"She can also do it lying on her front as well. We noticed that and she was able to do that first time, so that was impressive.
"It's like she's showing off - she looks at you and smiles, it's like she's trying to be a big girl!"
Tezra is a big fan of strongman competitions, regularly watching videos on Youtube.
He claims Lula looks engaged when they watch the videos together, and even jokes she might have been inspired by these to train herself.
Tezra thinks another reason for her strength might be a good muscle-to-weight ratio, based on the fact she was a small baby at birth.
She was born on January 31 and weighed just 5lbs 9oz and was on the 5th percentile - weighing less than five per cent of other babies her age.
One more might be her genes - Tezra stated that he's always been able to build muscle quickly.
"I've just always enjoyed being strong," he said. "When I was about 13, I started doing weight training and arm-wrestling - I was able to beat adults.
"Since then I just took up the weights. I just really enjoy being strong - not so much fit, but more the strength side of it."
Baby Lula isn't able to walk yet, but the parents are fearing her first step might be closer than they think.
Postwoman Emily said: "When I give her rattles and stuff to play with, she doesn't seem young enough to want them.
"She just seems a lot older than she actually is.
"I'm just like, 'Oh don't grow up yet!'"
What an impressive little baby!
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