Coffey and his husband Tim Smith welcomed their son in July, via a surrogate.
"He's here. And he came into this world surrounded by his village," Coffey wrote on Facebook at the time.
"#modernfamilies Mum doing awesome. Dads overwhelmed at the miracle of life."
It's not the first time an MP has brought a baby to Parliament - in 2017 Labour's Willow Jean-Prime brought her 3-month-old baby Heeni with her while the House debated extending paid parental leave.
Paliament's Speaker Trevor Mallard held Heeni in his lap as MPs debated the first reading of the Bill.
Earlier Prime had breastfed her daughter and said it made a big difference to be able to bring her to debates.
It came after Mallard said he wanted to make Parliament a more family-friendly environment.
Labour MP and former TV weatherman Coffey made the announcement the pair was expecting at the Big Gay Out in Auckland in February and was met with applause and screams of excitement.
He later told the Rotorua Daily Post that Smith was the biological father of the baby and their surrogate mother was "a friend of a friend".
At the time he said the pair hoped to raise more than one child if they "work out how to do it the first time".
Coffey was an award-winning presenter who left full-time television in 2013 to pursue a career in politics.
In 2014 he was named the Labour Party candidate for the Rotorua electorate at the general election but missed out to National's Todd McClay.
Smith and Coffey announced their engagement in February 2011 and wed in a civil union in December that year.
