to dominate or preoccupy the thoughts, feelings, or desires of (a person); beset, trouble, or haunt persistently or abnormally

Suspicion obsessed him.

to think about something unceasingly or persistently; dwell obsessively upon something.

verb

beset , consume , dominate , engross , grip , harass , haunt , hold , infatuate , possess , torment , trouble , weigh on