Green Party co-leader Metiria Turei says increasing rights for renters is good for landlords too.

A push to give renters longer tenancies and stop them from paying leasing fees is about providing stability to increasing numbers of people who don't own their home, Green Party co-leader Metiria Turei says.

Turei's Residential Tenancies (Safe and Secure Rentals) Amendment Bill was one of three member's bills drawn from a ballot on Thursday to go before Parliament.

The bill would strengthen rights for tenants in a number of areas, including allowing them a right of first refusal when their lease expired.

Landlords would have to put calculations for rent rises in tenancy contracts, while they would be banned from increasing rents more than once a year and leasing fees for tenants would be scrapped.

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The default lease term for rental would become three years, with the ability to choose a shorter period, while the legislation would restore the 90-day notice periods for tenants when a landlord wanted to sell their property.

Turei said the bill was about "shifting the balance a little bit more in favour of renters", given the considerable increase in the number of Kiwis who didn't own their homes - up from nearly 390,000 households in 2006 to more than 450,000 households in 2013.

"The original [tenancies] act was written when renting was quite low and home ownership was much more common so there was a tendency towards landlords' rights rather than tenants' rights.

"Families need to have safe, secure housing whether they're renters or homeowners, and this bill moves the law further in favour of families."

Turei said giving tenants more security would also benefit landlords, as it led to longer and more stable tenancies.

Opposition bills drawn from the ballot rarely become law, but Turei's bill will now be debated by MPs in Parliament and go through a first reading to decide whether it should be considered further.