The super star (*) key in Vim will search for the word under the cursor and jump forward to the next match. The user can jump to the next matches with the n key.
I have the following in my .vimrc, which I think works better than the other alternatives:
" Put word under cursor into search register and highlight
nnoremap * :let @/='\<=expand("")\>':set hls
vnoremap * :
\let old_reg=getreg('"')let old_regtype=getregtype('"')
\gvy:let @/=substitute(
\escape(@", '/\.*$^~['), '\_s\+', '\\_s\\+', 'g')
\gV:call setreg('"', old_reg, old_regtype):set hls