Canalys has just released a limited set of numbers for smartphone sales in Quarter 2, 2010, showing Nokia with a leading 38% marketshare across the world, with actual sales of its Symbian-based smartphones up 41% year on year. RIM's Blackberrys were second in terms of smartphone marketshare, with 18%, while Apple was at 13% worldwide. Android-powered smartphones made up a lot of the 'noise' in the analysis, split across a multitude of manufacturers, but showing very siginificant growth, as you'll see from the table below.

Quote:

Nokia retained a substantial lead in the worldwide smart phone market in Q2 2010, achieving a 38% market share. The vendor shipped a record 23.8 million smart phones during the quarter, representing growth of 41% on a year ago, as it focused on delivering affordable smart phone offerings to the market, such as its popular 5230 touch-screen handset, based on the Symbian operating system (OS). But Nokia’s market dominance is not as unassailable as it once was, with its performance outpaced by growth in the smart phone market as a whole.

The smart phone market grew by 64% annually worldwide in Q2 2010. 

Thanks to the BBC, we also have this table, breaking things down by smartphone OS: