Tamim confirmed his presence at the meeting by sharing a photo on his Instagram story, showing the official ICC Board meeting documents bearing the ICC logo and the Edinburgh venue.
Bangladesh has witnessed several leadership changes at the BCB over the past two years.
After serving as head of an ad hoc committee, Tamim was elected BCB president in June and has since continued to oversee key cricketing decisions.
As the elected BCB president, Tamim's attendance at the Edinburgh gathering marks his first ICC Board meeting, where he will represent Bangladesh in the governing body's highest decision-making forum.