According to a sources, the office abuse took place in a firm known as Encore eServices and Mr Lee Yew Nam is listed as its company director.
The Manpower Ministry said it has met with the victim who was seen to be physically abused by his supervisor in an online video.
In a statement on Wednesday, MOM said it is investigating his employment terms, as well as possible infringements of the Employment Act.
Commenting on the alleged case, deputy secretary-general of the National Trades Union Congress (NTUC) Heng Chee How said it is a reminder of the need to protect the rights and fight for decent treatment of workers.
Mr Heng urged the police and the Ministry of Manpower to investigate the case thoroughly, help the victim seek recourse, and press for deterrent action against the culprit.
The abuse victim in the video is believed to be a 29-year-old university graduate working in an IT software company. He has since lodged a police report and filed a complaint with the Manpower Ministry.
Mr Heng said physical abuse of workers by their bosses cannot be condoned.
He said: "I think anyone looking at that video will be shocked and outrage by the sort of behaviour. This is Singapore and we do not accept, nor expect this kind of boorish behaviour on the part of supervisors or employers on their workers.
"If the issue is one of performance, then there are proper ways of handling performance issues and in Singapore, certainly beating up your worker is not one of the ways to manage workers, we do not accept that."
He said that there are channels available for workers to go to if they have been unfairly treated at the workplace. Mr Heng added that more can be done in terms of public education of workers rights.
With the availability of technology today, Mr Heng said that should be a deterrent for everyone to behave properly at all times.
Human resource experts said physical abuse in the workplace is uncommon. However, it can be prevented, and one of the ways is for companies to have clear guidelines for supervisors and workers.
Ronald Lee, managing director of PrimeStaff Management Services, said: "What is important is for the company to communicate certain expectations, certain decorum to everybody within the organisation so that they can constantly be reminded of what they can and cannot do. I believe that one of the things that companies can do is to make the intolerance of physical abuse a strict guideline that is to be incorporated into the employee handbook, if there is one."
However, Mr Heng feels such guidelines may not be necessary.
He said: "Guidelines to promote progressive employment practices would be useful, but for something like beating up another person whether in the workplace or elsewhere, this is a crime. So people who do that ought to face the consequences of their actions."
The police said they are looking into the matter, and if the supervisor is found guilty, he could be jailed up to two years under the Penal Code.