Own some property that is managed and its income used by others

I have some agricultural property which is not being used by me, but it is being looked after by my parents. They are using the income and also distributing among other family members. I am not using any of the income from that. Am I responsible for the zakat for that property.

Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.

If you mean machinery by "agricultural property", then there is no Zakah on such machines unless you bought them for trade. If you bought them for trade, you should evaluate them after passing a lunar year under your possession and if the value is equal to the price of 85 grams of gold (along or with other articles), then pay their Zakah 2.5%.
But, if such machines were bought to rent out, then you have to pay 2.5% of the revenues that amount to the price of 85 grams of gold (alone or with other articles of wealth) and after passing one lunar year under your possession.
Here, we state that it is the duty of a person who rents out the machines and benefits from them to pay the Zakah, not on the owner who receives nothing as stated in your question.
On the other hand, if you mean by "agricultural property" the land itself then you do not pay the Zakah unless this land is intended for business. But, Zakah of the crops that are produced from this land becomes obligatory at the time of harvest and if this harvest is subject to Zakah in its value then, it is to be given by one who benefits from the land not the owner.
Allah knows best.