The ultras lobbed a grenade at the Sopore Police Station, 52 kms from here, at 9:55 AM, police said.
The grenade exploded at the main gate of the police station, leaving seven persons injured.
In another attack within three hours, the ultras lobbed a grenade at a police picket in the busy Batamaloo area in the city, the police said.
The grenade missed the intended target and exploded on the roadside, they said, adding no one was hurt in the incident.
No militant outfit has claimed responsibility for the two attacks so far.