The attack comes three days after militants attacked a BSF convoy in the outskirts of Srinagar city, leaving a jawan dead and two others injured.
Superintendent of Police, Sopore, Imtiyaz Hussain told PTI that "Militants opened firing on a police party while they were clearing the traffic jam in Iqbal market area in Sopore."
He said constable Kishor Kumar was hit by a bullet in the neck while an elderly civilian was also injured in the attack.
The officer said the policemen exercised maximum restraint to avoid civilian casualties.
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Efforts are to track down the assailants.
On March 13, Lashkar-e-Toiba militants, disguised as cricketers, had attacked a CRPF camp in Srinagar city, killing five of its personnel.
Two militants were killed in retaliatory action, while police arrested four persons including a Pakistani national in the course of investigations into the attack.