Harbhajan Singh is the first Indian to take a hat-trick in Test cricket.

 

Harbhajan's Hat-trick feat

A Hat-trick by off-spinner Harbhajan Singh, the first by an Indian in Test cricket,cut short Australia's ascendancy in the 2nd Test Match @ Eden Gardens Kolkata in March 2001

The  victims were - Ricky Ponting, Adam Gilchrist and Shane Warne.

At the completion of the feat,Harbhajan Singh had also claimed his first 5-wicket haul at this level, having earlier dismissed Matthew Hayden and Mark Waugh

AUSTRALIA - First Innings
M J Slater c Mongia b Khan 42
M L Hayden c sub b Singh 97
J L Langer c Mongia b Khan 58
M E Waugh c Mongia b Singh 22
*S R Waugh not out 29
R T Ponting lbw b Singh 6
A C Gilchrist lbw b Singh 0
S K Warne c Ramesh b Singh 0
M S Kasprowicz lbw b Ganguly 7
J N Gillespie not out 6
Extras (b 11, lb 7, nb 6) 24
--
Total (8 wkts, 90 overs) 291
Fall of wickets: 1-103, 2-193, 3-214, 4-236, 5-252, 6-252, 7-252, 8-269.
To bat: G D McGrath.
Bowling: Khan 18.4-5-55-2; Prasad 21-5-69-0; Ganguly 10.2-2-31-1; Raju 15-2-49-0; Singh 24-6-66-5; Tendulkar 1-0-3-0.

Harbhajan Singh took 13-196(7-123 and 6-73) including a hat-trick, VVS Laxman scored a magical 281 and Rahul Dravid a solid 180, helping India script one of the greatest turnarounds in Test cricket history.
Forced to follow-on, India stunned the all-conquering Australians, registering a 171-run victory to level the series 1-1