Tifa... Tifa... Run, hurry.
Tifa's father was a resident of Nibelheim prior to the events of Final Fantasy VII. His death led Tifa to join AVALANCHE to fight against Shinra and SOLDIER. Tifa's father only appears in flashbacks in Final Fantasy VII, and also appears in Last Order -Final Fantasy VII-. In Crisis Core -Final Fantasy VII- Tifa's father is mentioned in a email from Cloud to Zack sent during the Nibelheim Incident.
Tifa's mother died when she was eight years old, and since then she lived with just with her father. Grief-stricken at having lost her mother, Tifa wanted to climb Mt. Nibel, somehow believing she could find her. A bow living in Nibelheim, Cloud Strife, followed under concern for her safety, and both fell from a rickety bridge and Tifa got badly injured. Tifa's father came to take her back to town, and blamed Cloud for the expedition, forbidding Tifa from seeing him again.
Seen in Last Order -Final Fantasy VII-, Tifa runs through a burning Nibelheim shouting out to her father when she sees her master, Zangan, who tells her Sephiroth set fire to the town and killed the townspeople. Tifa asks for her father and Zangan replies he has gone to Mt. Nibel. She arrives at the Nibel Reactor and finds her father lying injured on the ground with Sephiroth's Masamune close by covered in blood.
Tifa tells him to hang on, cradling him in her arms. He tells her to run away and dies before her eyes. Tifa declares her hatred for Shinra, SOLDIER, mako, and Sephiroth. She runs into the reactor to confront Sephiroth with the Masamune, but is easily disarmed and cast aside.
Behind the scenes
Tifa's father is known as Tifapapa (ティファパパ, Tifapapa?) in the Japanese version of Final Fantasy VII, with the first part of his name changing based on what the player names Tifa. This name only features as his speaker name. In English he has no speaker name. Tetsuya Nomura's concept art labels him "Brian Lockhart" (ブライアン・ロックハート, Buraian Rokkuhāto?), although this name is not used elsewhere.
His concept art by Tetsuya Nomura mentions him to be 40 years old.