The deal comes at a time when operators are increasing their spending on mobile and fixed networks to improve coverage and boost capacity to keep up with rising data traffic from video and smartphones.
TE Connectivity, which split from Tyco International in 2007, said the unit generated revenue of about $1.9 billion in the year ended Sept. 26. The business makes fiber optic cables and network switches.
The acquisition does not include the unit's subsea fiber optics operation, which is used by telecom and oil and gas customers.
The deal will help CommScope expand in overseas markets. The company gets about 55 percent of its sales from the United States, according to Thomson Reuters data.
TE Connectivity gets about 80 percent of its sales from non-U.S. markets.
The deal, expected to close by the end of 2015, will add more than 20 percent to CommScope's adjusted earnings by the end of the first full-year after closing, the company said in a statement.
CommScope said it would finance the deal through cash and up to $3 billion in debt.
Alston & Bird, Latham & Watkins, Baker & McKenzie, and Jones Day are serving as legal advisers to CommScope.