Amar Bose married his first wife, Prema, in the 1950s. Details about their relationship are relatively private, but it is known that they had children together. They later divorced.

Amar Bose was a father to two children: Vanu G. Bose and Maya Bose. He deeply valued his family and supported their individual pursuits. Vanu G. Bose later became an entrepreneur in his own right, co-founding several tech companies.

Later in life, Amar Bose remarried. Details about his second wife are less publicly available, maintaining his penchant for privacy regarding his personal affairs.

Beyond his work in engineering and business, Amar Bose had diverse interests. He enjoyed classical music and was known to attend concerts regularly. He also had an appreciation for fine arts and literature. Details are limited as he kept his private life separate from his public persona.