At around 10.20pm on Sunday, June 14, the men broke into a property in the Coalburn area near the B7078 and robbed the householder.
Police say they took cash, jewellery and two cars: a blue VW Tiguan and a blue Ford Fiesta.
The 63-year-old woman in the home suffered a minor injury and was treated by paramedics.
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She has been left “extremely shaken” by the incident.
Officers are now carrying out high-visibility patrols in the local area while extensive enquiries are ongoing to find out who was responsible for the attack.
They are appealing for anyone with information to come forward.
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Detective Inspector Vicki Douglas, from Lanarkshire CID, said: “This was a particularly distressing incident for the victim and we can only be thankful that she was not seriously injured.
“We are appealing for any witnesses, local residents with private CCTV or possible dashcam footage from the local area to please come forward.
“We are also keen to hear from anyone who believes they may have seen any suspicious vehicles prior to the incident.
“Anyone with information which may assist our investigation, no matter how small, should call police on 101, quoting incident 3460 of June 14.
“Alternatively, you can call Crimestoppers on 0800 555 111, if you wish to remain anonymous.”
The three suspects are described as wearing face coverings.
One was wearing a black hat and black clothing, while the second was wearing grey jogging bottoms.
It is unknown what the third man was wearing.
