Both "for the purpose of" and "with the purpose of" are correct. However, "for the purpose of" is much more common.
Both "for the purpose of" and "with the purpose of" are correct. However, "for the purpose of" is much more common.
For the purpose of promoting social and environmental responsibility, the Australian government is releasing a new plan.
The UK government is releasing a new plan with the purpose of transforming distressed towns and cities.
Source: Google Books Ngram Viewer
Be aware that "for the purpose of" is more frequent in very formal language and academic writing.
A committee was formed for the purpose of determining the causes of the financial crisis.
We'll add here that "with the purpose of" and "for the purpose of" are compound prepositions that have a gerund as their object.
With the purpose of carrying out the attack, the troops went there.
Alternatively, to sound more natural or be more concise, you can simply use "to + infinitive" or "for + noun" to express purpose.
The engineer secured the network to protect the company against cyberattacks.
