Filenames with spaces breaking for loop, find command

I have a script which searches all files in multiple subfolders and archives to tar. My script is

for FILE in `find . -type f  -name '*.*'`
  do
if [[ ! -f archive.tar ]]; then

  tar -cpf archive.tar $FILE
else 
  tar -upf archive.tar $FILE 
fi
done

The find command gives me the following output

find . -type f  -iname '*.*'
./F1/F1-2013-03-19 160413.csv
./F1/F1-2013-03-19 164411.csv
./F1-FAILED/F2/F1-2013-03-19 154412.csv
./F1-FAILED/F3/F1-2011-10-02 212910.csv
./F1-ARCHIVE/F1-2012-06-30 004408.csv
./F1-ARCHIVE/F1-2012-05-08 190408.csv

But the FILE variable only stores first part of the path ./F1/F1-2013-03-19 and then the next part 160413.csv.

I tried using read with a while loop,

while read `find . -type f  -iname '*.*'`;   do ls $REPLY; done

but I get the following error

bash: read: `./F1/F1-2013-03-19': not a valid identifier

Can anyone suggest an alternative way?

Update

As suggested in the answers below I updated the scripts

#!/bin/bash

INPUT_DIR=/usr/local/F1
cd $INPUT_DIR
for FILE in "$(find  . -type f -iname '*.*')"
do
archive=archive.tar

        if [ -f $archive ]; then
        tar uvf $archive "$FILE"
        else
        tar -cvf $archive "$FILE"
        fi
done

The output that i get is

./test.sh
tar: ./F1/F1-2013-03-19 160413.csv\n./F1/F1-2013-03-19 164411.csv\n./F1/F1-2013-03-19 153413.csv\n./F1/F1-2013-03-19 154412.csv\n./F1/F1-2012-09-10 113409.csv\n./F1/F1-2013-03-19 152411.csv\n./.tar\n./F1-FAILED/F3/F1-2013-03-19 154412.csv\n./F1-FAILED/F3/F1-2013-03-19 170411.csv\n./F1-FAILED/F3/F1-2012-09-10 113409.csv\n./F1-FAILED/F2/F1-2011-10-03 113911.csv\n./F1-FAILED/F2/F1-2011-10-02 165908.csv\n./F1-FAILED/F2/F1-2011-10-02 212910.csv\n./F1-ARCHIVE/F1-2012-06-30 004408.csv\n./F1-ARCHIVE/F1-2011-08-17 133905.csv\n./F1-ARCHIVE/F1-2012-10-21 154410.csv\n./F1-ARCHIVE/F1-2012-05-08 190408.csv: Cannot stat: No such file or directory
tar: Exiting with failure status due to previous errors