It focuses instead on reducing herd numbers and keeping them within a defined feral range across thousands of hectares of public conservation land.
DOC operations director in Wellington Dr Ben Reddiex said more than 100 tahr were shot this year outside the feral range, to the north.
Staff were still collating overall numbers but 1400 animals had been shot in the Westland National Park so far, Reddiex said.
"We will be putting out maps showing identifiable male tahr sightings on our website later this week to help hunters plan their next trip and we'll be doing a review of the control operation to date with the Game Animal Council at the mid-point, later this month."
The tahr carcases are not recovered and there have been concerns about the risk to kea which feast on them, sometimes consuming lead shot in the process.
But DOC no longer used lead ammunition, a spokesman said in an update for conservation boards this month.
The change to non-lead buckshot struck a glitch last year when it was found the lighter shell cases had hit helicopter tail rotors a couple of times, leaving grooves.
Experts advised there was no safety risk but the shell cases could cause costly damage to the rotor blades.
The problem had been resolved by modifying the shotguns used in the tahr cull to change the shell ejection pattern, DOC reported.