The 65.27 percent share of Apple's iOS platform, which is found on the iPhone, iPad and iPod touch, was up from 62.65 percent in May. Apple's share has steadily risen, growing from a 53 percent position in August of 2011.
Apple's next closest competitor in mobile browsing market is Google's Android platform, which took 19.73 percent in the month of June. Android has also seen its share grow since last August, when it took 15.98 percent of mobile browsers.
The gains for iOS and Android have been losses for Research in Motion's BlackBerry and Nokia's Symbian platforms. BlackBerry has fallen from 3.33 percent in August of 2011 to 1.87 percent in June, while Symbian has dropped from 6.21 percent last August to 1.49 percent in June.
The latest desktop market data from Net Applications also tracks Apple's Mac OS X share at 6.7 percent of computers browsing the Web. Windows has a dominant 92.2 percent of computers tracked online, while Linux accounts for 1.1 percent.
Among specific browser software, Apple's Safari was tracked with 4.7 percent of the market, well behind Google's Chrome (19.1 percent), Mozilla Firefox (20.1 percent), and Microsoft's Internet Explorer (54 percent).