The amount represents around four percent of global supply.
Zinc prices which have fallen 30 percent since May, rallied six percent on the news.
FTSE 100 rally continues as Glencore lifts mining sector
Mining shares have been under pressure for some time because of declining commodity prices, but Glencore’s action sent zinc prices up 6%.
The FTSE 100 index was up 67.35 points, or 1.1%, at 6, 442.17.