Can Minister's criticize other ministries in Public?

No. One Minister may not criticise another.

Basically, it is the "Collective Responsibility" theory of Ministerial Body comprising all ministers ( The PM is the leader of the Body ). In recent times :

----  Digbejoy Singh was opposing (policies) of Mr Chidambaram

----  Mamata Banerjee frequents with such practices with Chidambaram

---  Tharoor was all against our PM's direction for austerity

---  and now Mr. Jairam

However, this is a matter of the inner circle of UPA, its allies. We, the common man are benefitted by getting inside news - we have nothing to object.

Well said Mr. Narayan, it is just for getting some lime light for these people. It looks like critisizing their own family members. They should discuss within their four walls to get the things in proper way

Yes, but only if he is looking for way to get in trouble or exit.

The performance index will improve if Minister talk their own Mininstry.Let the space for criticism be given to opposition.

The way corruption is propsering criticims should be made public and for all to know the truth

I am not sure where YES figures , but I think any individual , who is part of a group , should not criticize another member of the group , in public.

This not only applies to the government , between ministries and ministers , but also other groups , such as the workplace , between colleagues / departments , and even within the family.

The whole purpose of criticism , is that it improves the person being criticized. Hence the criticism has to be couched so that it achieves the end purpose. Criticism either to show one's superiority , or to pull down the other person , is childish , reflects one's immaturity and in the final analysis , meaningless.

Secondly , the criticism has to be made in the proper fora , where the recipient also gets a chance to defend himself , and the group , as a whole , comes to a consensus on the issues involved.