Kuchibhotla's father Madhusudana Rao lit the funeral pyre at the crematorium in Jubilee Hills in the afternoon.
The parents of the 32-year-old engineer were in deep sorrow over the tragedy that has struck them.
Union Minister Bandaru Dattatreya, several other leaders, family members and friends of Kuchibhotla were present on the occasion.
As the funeral pyre was lit, some of those present at the crematorium raised slogans in memory of Kuchibhotla and against the US administration.
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It was a picture of sadness and grief at the house, where a pall of gloom had descended, as Kuchibhotla's wife Sunayana took part in the last minute rituals.
His parents and other family members too looked crest-fallen.
Kuchibhotla had been working at the Garmin headquarters in Olathe in Kansas City. Another Indian and his colleague Alok Madasani was injured in the incident that took place on last Wednesday.
A teacher of Kuchibhotla recalled him as a simple and good-natured person who always had a positive outlook towards life.
Ministers from Andhra Pradesh and Telangana, MLAs and other leaders belonging to different political parties visited his house here after the shooting incident.
Union Ministers M Venkaiah Naidu and Bandaru Dattatreya had earlier visited the family.
The shooting incident had taken place at Austins Bar and Grill in Olathe in Kansas City in the US state of Missouri.
Ian Grillot, an American, was injured when he tried to tackle the accused Adam Purinton (51), who was arrested on Thursday morning, five hours after the incident.