iOS 7 includes a completely redesigned Safari App including a new and simple way for how to close Safari tabs on the iPhone. Overall, the app is more immersive, minimizing the URL at the top of the screen and fading the navigation controls as you scroll down. You can also have an unlimited number of tabs open at the same time. There is an easy way to close tabs. Here is how: 1. Tap the bottom right button in Safari to reveal all your open tabs. 2. Once the tabs are visible, simply swipe the tab off to the left. This will automatically close the tab for you. This is very convenient especially if you typically have a lot of tabs open.