The suspect was detained, police said adding that the incident occurred when officers were sent to the Unterfohring station amid reports that a fight had broken out between passengers on a train, Efe news reported.
After the police arrived at the scene, one of the assailants allegedly tried to push an officer onto the train tracks.
The aggressor then managed to disarm one of the police agents and began to shoot.
One female officer was hospitalised due to a critical gunshot wound to the head, while the assailant, who was shot, also was in a serious condition.
Two others also sustained minor injuries in the altercation.
"Unilateral (sometimes covert) interventions, as in Libya or Syria, have led to unexpected and dangerous outcomes," said National Security Advisor Shivshankar Menon while addressing the Munich Security Conference on Global Power and Regional Stability here yesterday.
"We clearly need to improve, strengthen and use the processes and institutions of multilateral consultation and action available to to the international community," he said.
"In the Asia-Pacific, the process of building an open, inclusive security architecture based on a common understanding of the rule of law is at its very inception, and must be hastened," he stressed.
In the last fifty years, Asia-Pacific countries have shown the maturity and ability to manage conflicts despite major disputes and differences, he said.
Menon said that once stable regions like East Asia are no longer as harmonious as they were.
"Terrorism has globalised its reach and is fusing across regions, as Central Africa, Syria, Libya and Pakistan-Afghanistan show," he said.
Menon also referred to the Iranian nuclear programme, saying that progress had been made on the issue.
"India's primary interest is to create an enabling external environment for the transformation of India. That requires a peaceful periphery and a stable international environment which is supportive of India's security, growth and development," he said.
Menon said India seeks a reduction in regional tensions, wherever they may be, an open and democratised international order, and more effective and representative global institutions.
"Indian couple Prashant and Smita Basarur were stabbed by an immigrant near Munich. Unfortunately, Prashant has expired. Smita is stable. We are facilitating the travel of Prashant's brother to Germany. My heartfelt condolences to the bereaved family," Sushma Swaraj wrote on Twitter.
The attacker, believed to be a 33-year-old migrant from New Guinea, was arrested and a kitchen knife used to stab the couple was secured, reports said. His motive for targeting the couple remained unclear.
Authorities said that an investigation was underway.
Sushma Swaraj appreciated the work done by the Consulate General of India in Munich and asked them to take care of the couple's children.