Rogers advice is sound, as usual. It takes time for them to tolerate you, and in many cases people are not going at taming them properly which is a very common problem. I just thought I would point out 1 other piece of advice if all fails because Iguana's can be hard to re-home and in many cases.. new owners fall right into the same problem - simply put reptiles should be respected from the beginning as display pets.. They would rather have it as such. If we find some that are tame and can handle that's simply an added bonus. Follow Rogers taming advice it is good advice.. But always remember it takes time and patience. At the same time consider simply leaving it solitary and in its cage.. Over time they will typically build a level of trust but either way a nice looking cage and iguana can be a good addition to your household be it you can hold it or not. My iguanas are all quite tame and the last few years I've gotten into Uromastyx. These guys are smaller, typically more timid reptiles that want NOTHING to do with people at all. They are excellent display animals and pretty much I keep it at that. As time has gone on I've seen they become more receptive of me. They don't run and scatter as much, they will allow me to feed them.. One of them has grown quite tame for a uromastyx and will come up on my hand. I did nothing for him to do this it was his own doing - it just takes time and patience with reptiles.