Yes HDFC Life is registered with Insurance Regulatory and Development Authority (IRDA) of India.

HDFC Life was the first private insurance company to be registered with the Insurance Regulatory Development Authority (IRDA) and to issue a policy on December 12, 2000.
HDFC Life is the result of the coming together of HDFC and Standard Life Plc. of the United Kingdom.
HDFC Life has around 5,000 branches in India across 900 cities and towns;
The company’s superior reach is amongst the most extensive in the country.

Some of the achievements and awards of HDFC Life:

Indian Insurance Award 2014: Winner in 3 categories. Best product Innovation (Life Insurance), Best Technology Innovation (Life Insurance) and Most Socially Responsible Insurer (Overall)

IAA Marketer of the Year (Insurance): Sanjay Tripathy. Sr. EVP-Marketing Product and Direct Channels received Marketer of the Year Award.

Most Admired Life Insurance Companies in the Private Sector: HDFC Life received the ‘Most Admired Life Insurance Companies in Private Sector’ award at Banking, Financial Services and Insurance Awards 2014.

Honoured with 7th Loyalty Award: HDFC Life won the Loyalty Award for Financials-Non Banking Financial Sector at the 7th Loyalty Awards and Summit, 2014