The incident took place on the Hasanpur-Lisadh road when the couple was returning from a doctor. They were intercepted by a group of armed assailants who first stabbed them and then shot at them, injured Rajendra told the police.
He also said that his wife Reena was killed on the spot.
Irate villagers kept the woman's body on the road and blocked traffic, demanding the arrest of the assailants.
Police worry that the agitation by villagers, also supported by the Khap Panchayats, could turn violent in the coming days.
Peace in Muzaffarnagar was shattered Wednesday evening as communal clashes between two groups left three people dead.
The incident took place in Bhaurankalan police station area when people from two communities fought a pitched battle in which three youngsters were shot dead.
The youngsters belonged to Hussainpur Kalan village.
Police reinforcements have been rushed to the area and officials said that all the three dead were Muslims.