The contract includes operational and service improvements, as well training for both Hindustan Zinc and Normet staff.
Normet said its SmartCare system will enable efficient service management and development of service operations, while its new service centre in Jaipur gives it easier access to its customer.
The value of the contract will be approximately €60 million (US$68 million) over four years.
Robin Lindahl CEO and president of Normet Group said: "Signing this contract shows the strong partnership between Hindustan Zinc and Normet. Together we have transformed our co-operation to next level - with strong business alignment. We are proud to be part of the development of Hindustan Zinc's underground mining for even better safety, efficiency and productivity."
Hindustan Zinc CEO Sunil Duggal added: "Normet has shown good performance and commitment to develop together with us world-class underground mining operations.
"The contract will not only improve the performance and utilisation of the Hindustan Zinc operations, but it will also enable driving safety to the next level."