Vaswani succeeds Steve Schuckenbrock, who held executive leadership roles at Dell since joining the company in 2007.
He will be responsible for developing and delivering end-to-end IT services and business solutions for global corporations, state and local governments, Dell said in a statement.
Vaswani, who previously led Dell Services' application and BPO line of business, will report to Chairman and CEO Michael Dell in his new role, it added.
He also is responsible for Dell's IT delivery, including the company's infrastructure and applications worldwide.
"We have made huge strides transforming Dell into a leading provider of end-to-end solutions, and our Services business has been a cornerstone of our progress," Dell said.
Suresh's deep services expertise and proven track record make him the right leader to continue growing Dell's Services business and fuelling its transformation, he added.
Vaswani joined Dell after 25 years at Wipro, where he served as the co-CEO of Wipro's IT business and was on the Board of Wipro Ltd.
His exit from Wipro, along with co-CEO Girish Paranjape, came after the company scrapped its co-chief executive model last year.
Schuckenbrock recently announced his intention to seek new opportunities outside Dell. Prior to Services, he served as President (Large Enterprise) as well as Chief Information Officer.
"Steve leaves a lasting legacy at Dell. His leadership, vision and commitment to customers helped shape our strategy and inspired thousands of employees," Dell said.
Dell had entered into services in 2007 with the acquisition of Perot Systems for USD 3.9 billion.
Since then, the US-based company has been constantly pushing to increase its presence in the global IT services.
Dell Services revenue grew 12 per cent to USD 2.2 billion and represented 14 percent of Dell's business for the fourth quarter of FY2011-12.