The survey revealed that 43% of those bullied do nothing about it and 1 in 10 of them are forced to leave their job due to bullying.
The video below from website bullyfreeatwork.com highlights the facts of workplace bullying.
Dr Catherine Sandler, director at executive coaching firm, Sandler Consulting said: "Bullying is a destructive feature of working life that has proved extremely difficult to eradicate since it was first highlighted in the early 1990s.
"When challenged, the bully is usually defensive, denying their behaviour or placing the responsibility on others. They reject the accusation of bullying and often feel furious that the organisation to which they give so much is attacking them."
Sandler added: "HR has a vital role to play in this process. Those organisations who find the courage and skill to put a stop to bullying reap a huge return on their investment. Not only will the morale and performance of staff be transformed but the former bully will also raise their contribution to a new level."
Jan Parkinson, chief executive of the Employee Relations Institute (ERI), said: "Bullying is just one issue that results from poor employee engagement, ultimately effective and meaningful employee engagement is crucial in improving workplace relations."
Parkinson added: "Organisations with engaged employees not only experience less bullying, but also find there is higher productivity and better staff retention. The key is better training and awareness at all levels of the organisation."
With 40% of those surveyed feeling unsupported by their line manager, the survey claims it is clear that the importance of effective management capability and employee engagement must be highlighted and improved.
Andy Cook, executive chair at ERI, told HR magazine: "I'm not surprised by the findings but I don't believe the figure of 1 in 3 is all serious bullying.
"If a manager has to deal with a bullying complaint they must investigate with the utmost urgency and the investigation has to be thorough. If they don't look at every aspect they could be accused of covering something up."