The 63-year-old was walking across a major park in Horsham towards the Pavilions leisure centre at about 6.15pm on Monday (December 19).
She was pushed to the ground from behind and her handbag was taken.
Officers said two people were seen running off towards the bandstand with her handbag.
She was not injured.
On social media site Streetlife one resident said the woman had been late night shopping in the town and was on her way back to her car.
Another resident said their colleague had been attacked while walking in the park a few weeks previous.
Anyone with information on the attack is asked to email [email protected] quoting reference 1143 of 19/12.
You can also report online (https://sussex.police.uk/contact-us/response-to-appeal/) or call 101.
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