Domselaer was born at Nijkerk, Netherlands. In 1912, he traveled to Paris where he met the Dutch painter Piet Mondrian (1872–1944), eventually becoming a part of Mondrian's artistic circle known as "De Stijl." Domselaer's piano suite Proeven van Stijlkunst (Experiments in Artistic Style, 1913–17) represented the first attempt to apply principles of Neo-Plasticism to music. This austere, mathematically based music represents an important but as yet unacknowledged precedent to minimalism and has been little performed or recorded. He died at Bergen, Netherlands.
At the Berlage Concourse in 1988, the Dutch pianist Kees Wieringa was one of the prize winners, playing piano music by Domselaer. He released a recording featuring the music of Domselaer in 1994 (DO Records CD, DR 001).