I am not a voter of the left, but if I was I would struggle to find a reason why I would not currently support the Greens over Labour.
Before I explore why the Greens are doing so relatively well at the moment, first let us look at perhaps the historical reasons why left voters generally did not support the Greens.
The first is policy influence. The two larger parties are the one that can shape Government the most. A party on five per cent has little influence compared to a party on 45 per cent. But this is not the environment in 2012. Labour continues to poll in the 20s only, and the Greens have started to poll between 14 per cent and 17 per cent. This means that in any future Government, the Greens could represent a third or more of the Government, which would give them massive influence - at a minimum Russel Norman could expect to be made Minister of Finance. If the Greens grew five per cent further, then they could lay claim to top job. I am not saying they will achieve this, but I am saying that in any future left Government, the Greens are looking likely to have great influence. There is no reason to think that their future role has to be that of an minor support party.
The second reason why the Greens historically did not attract widespread support from the left is because they were perceived as extremists. Their defence spokesperson hated the United States. Their justice spokesperson was best known for breaking the law. Their economic policy was to argue against economic growth. Their consumer spokesperson railed against the size of easter eggs, and their welfare spokesperson was a former beneficiary rights activist. At one stage a significant portion of their caucus were actually former Marxist and maoists.
Now the Greens have managed to be perceived as far less extreme. They talk about a richer New Zealand. Their transport spokesperson doesn't rail against the evils of motorcars, but instead can debate cost benefit ratios and hidden subsidies with ease. Their health spokesperson is a former DHB chief executive. The Greens' language and rhetoric is far more mainstream than a decade ago (even if the policies themselves have not changed a lot).