What is the best way to deal with co-workers who spread gossips about you at work?

Well there can be two types of gossiping.

1. They have got issues with your work and performance or Leg pulling attitude, then you can talk to your HOD or HR person in your organization. The preferable option will be that you talk to you immediate supervisor who can resolve this matter within few people or team.
2. Other is that if they are gossiping about their personal life or personal matters, so it is better to resolve it ASAP with each other because if management come to know about such activities at work place which can effect an individuals tasks or performance then it can be problem for employee or co-worker.

Hope it will work for you !!!

Its a common habit of the co-workers therefore, do not need to take it seriously however, if starts making problem or disturbing the work environment then it must be addressed through the proper channels and as per company's rules.

Always stay Positive and say positive about that who spread gossips and share gifts

If you think you are doing the right thing at work and don't step on anyone's toes, then ignore those who gossip about you. Also, try to uphold good morals in your life so that you would not earn the unwanted attention from others. If you are doing all these things and they still gossip, it's no longer your problem, but theirs. Remember this: People throw stones only at fruit-laden trees. Meaning, if you are a person with good track record, people will envy you.

There's conflicting beliefs around gossip in the workplace. Some studies suggest it creates a stressful environment for employees, whereas other research hints that it might actually have some benefits.

As gossipers will often have picked you out of the crowd, their behaviour can get worse over time in response to how you react to the little things. If a minor conflict happens, don't just brush it off. You should confront the person, just don't be aggressive about it.

For example, if they criticise you publicly, don't shy away and apologise. Instead, you should stop what you're doing, turn to them and quietly tell them a better approach would be to talk to you privately.

If they respond with anything other than an apology, reiterate that you'd much rather talk in private. This way, you have immediately responded to the conflict and it will make you appear like someone who shouldn't be messed with. If you go quiet and allow yourself to be embarrassed in public, you'll likely become the victim of further gossip and lies.

Be yourself, maintain confidence, fill the gaps and do not leave a space for gossips arising from your actions or behaviours and let jealous people die with their jealousy.

Please remember: works speak louder than words.

Make yourself busy with actions and leave the talk to them.

If each one has to good at one thing so be good at work and let them be good at talk, this way you are gonna move forward and they will remain at the same point.   

no doubt, gossips/rumors have negative impact on people and organization, however, gossips/rumors are rearly to toch or have impact on straightforward individuals.

Just watch yourslef, do the right things in right ways.

It’s a hard thing, whether we like it or not, gossips will always be there in the back corridors.

However i suggest you move from the dance floor up to the balcony and observe, keep an eye on the authority and if such negative media affects your position. Start by forming buddies and alliances to overcome those negativities.

If those were legitimate accusation, work to enhance your weakness and ask for support in order for you to prove and show improvement. And if those accusations were false, start to highlight your achievements and ask for endorsements. This way you can overcome and shadow the negative media.

One last thing, please don't confront the gossipers before the above steps.

Hope you can make it out, best luck

This is hard but not impossible. Improve yourself in your work as much as no looppool left and capture one or more looppool of your Co-worker. 

Honesty, Sincererity, No hypocrisy, Act like true Senior, Listen others, Establish coordiel environment at any cost. Do not show you are master of every thing others knows nothing, Be polite