The review follows approaches to Infratil by AustralianSuper, which this month hoped to buy Infratil for $5.4 billion.
Infratil has rejected the offer as being too low.
Iberdrola's website says it is a global energy leader, the "number one" producer of wind power, and one of the world's biggest electricity utilities in terms of market capitalisation.
"We have brought the energy transition forward two decades to combat climate change and provide a clean, reliable and smart business model," the site says.
Infratil said early this month that it had hired Goldman Sachs to undertake a strategic review of its stake in Tilt after the infrastructure investor received a number of enquiries from potential buyers.
Tilt's shares last traded at $6.00 - having gained 76 per cent over the last 12 months.
At that price, a 65.5 per cent stake would be worth $1.5b.
Infratil last traded at $7.21, giving it a market capitalisation of $5.2b.