The constables were chasing six suspected robbers when they were shot. The suspects have not been tracked down yet.
One officer died immediately; the other died in hospital in Agra.
Dinesh Pratap Singh and Giriraj Kishore Gujjar, the killed policemen, were both in their early 30s.
In recent weeks, a series of horrific crimes - many of them against women - have left the Uttar Pradesh government defenseless against allegations of incompetence and a total breakdown of law and order.
More than two weeks ago, two teen girls, were found hanging from a tree; medical reports showed they had been lynched and gang-raped. The girls were cousins; their families alleged that the police had refused at first to help them because they are from a lower caste.
Last week, a woman said she was gang-raped at a police station in Uttar Pradesh's Hamirpur district. Over the weekend, another woman said she had been gang-raped in Badaun; the suspects include a police officer's son who has still not been arrested.
The BJP's leaders in Uttar Pradesh have expressed their grave concern over a series of attacks on local leaders from their party. Three BJP representatives have been killed in the last few days.
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