He will meet Prime Minister Manmohan Singh and President Pranab Mukherjee. Initiatives to encourage trade are expected to include an easing of visa conditions for Indian businessmen visiting the UK.
In an interview shortly before arriving, Mr Cameron addressed business concerns about the difficulty of obtaining visas, telling the Hindustan Times:
I think there's more we can do here and that's an area where I hope we can put an even more attractive offer on the table during this trip.
More top news
Sex and drugs are off limits for undercover police, official guidelines published for the first time state.
Nicola Sturgeon will hold talks with European Parliament president Martin Schulz in Brussels today.
IKEA is recalling almost 36 million chests and dressers in the US and Canada after the deaths of three children.