CPI(M) candidate and former minister Anisur Rahman said that the man identified as Tahidur Islam was killed when bombs were hurled outside the polling booth.
Murshidabad Superintendent of police C Sudhakar, however, said the murder was not related to polls.
Tahidur was stabbed somewhere else and his body was dumped near the booth, the SP said.
Rahman also alleged jamming of booths by Trinamool Congress supporters.
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Trinamool Congress, however, denied the charges.
(Reopens CAL2)
In Burdwan district where third phase Assembly election is on in 16 seats, four persons were injured in separate incidents in polling booths under Ketugram Assembly constituency.
The ear of a CPI(M) worker identified as Seltu Sheikh was slashed and leg of another CPI(M) man was fractured after an altercation led to a scuffle in front of booth no 78.
Both the injured were rushed to Ketugram Block Primary Health Centre.
In another incident, two CPI(M) workers were injured at booth no 48 under Ketugram Assembly seat when bombs were allegedly hurled.
The injured were taken to Ketugram Block Primary Health Centre.
While CPI(M) alleged that Trinamool Congress supporters were involved in the incident, the latter denied the charge.
In a separate incident, Central Forces obstructed Trinamool Congress candidate in Purbasthali Uttar seat of the district, Tapan Chattopadhyay, from entering booth no 20 due to a "communication gap".
He was later allowed to enter after he showed valid papers.
Polling was delayed by 45 minutes as a result of this, district election official said.