Gold Fields, the world's fourth biggest gold producer, said as of Thursday it had received acceptances for 66 percent of the shares under offer and, together with shares it already held, controlled 75.8 percent of the firm.
Gold Fields has offered 35 of its own shares for every 100 shares in Western Areas, which owns half of South Deep, one of the world's deepest gold mines.
The offer is one part of three related deals worth $2.5 billion by Gold Fields to gain control of South Deep, which has the world's biggest gold deposit.
Last week, Gold Fields completed the purchase of Barrick Gold's 50 percent stake in the mine and rival Harmony Gold said it would tender its 29.2 percent stake in Western Areas.
Buying the stake held by Canada's Barrick cost $1.52 billion, consisting of $1.2 billion in cash and 18.7 million of its own shares.
Gold Fields said last month it had concluded the first transaction, to buy a 34.7 percent stake in Western Areas owned by JCI Ltd.
Gold Fields' shares fell 1 percent to 127.50 rand by 1315 GMT while Western Areas' shares were unchanged at 44.50 rand, compared to a 0.33 percent rise in the gold mining index.
