He takes over from K K Mishra, who retires this September, the company said in a statement.
Prior to joining Tata AIG General Insurance, Garg was the Executive Director at ICICI Lombard General Insurance.
"It will be my endeavour to sustain efforts of my predecessors and ensure an even brighter future for the company with knowledge, customer-centricity and technology as the core mantra. As I embark on this journey, I hope to sustain the brand's rich legacy and further strengthen the brand's footprint pan-India," Garg said.