@Sleepy But in this scenario, it did surprise me in a pleasant way when I was not giving the full details.
Just spotted this thread. I believe the OP's problem has been solved by @Sleepy and others, but I didn't see any AppleScript mod to the script posted by OP @Alice_Shi "to select all next non-empty cells in numbers app". So here's my take on one:
--selects from current cell through cell before next blank (or non-blank) cell in column
--select starting cell, and run
property searchFor : missing value
tell application "Numbers"
set t to front document's active sheet's first table whose selection range's class is range
tell t's selection range
set currentRow to its first cell's row's address
set searchCol to its first cell's column's address
end tell
tell t's column searchCol
repeat with i from currentRow + 1 to count cells
if cell i's value is searchFor then --add not if want to find non-blank
exit repeat
end if
end repeat
end tell
--
set colName1 to character searchCol of "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
set rangeAddr to (colName1 & currentRow & ":" & colName1 & i - 1) as text
tell t to set selection range to range rangeAddr
end tell
Hope it's of some use.