keep getting email from My website VPS from NetworkSolutions

Sounds like you have a cron job pending. If you have access you can suspend all cron jobs like this:

If you don't have access then they will need to do this for you.

http://www.unix.com/shell-programming-scripting/30097-suspend-cron-job-temprory.html

To suppress all jobs from crontab :

Code:
crontab -l > cronfile.dat   # Save actual crontab file
crontab -r                  # Remove crontab file

To restor all jobs :

Code:
crontab < cronfile.dat

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do you familiar Networksolutions VPS? where I can run it?

Try this. Their example is to run a cron job. In your case, you want to suspend or remove the task referred to in your email -  Cron <drweb@03386b6> /opt/drweb/update.pl

https://www.goeasycloud.com/manage/knowledgebase/article/840/set-up-a-cron-job-with-network-solutions/

To run the cron job on Network Solutions:
1. log into you account

2. Go to the "Webhosting" tab
then to the "Configurations" tab
then to "Scheduled Tasks" tab

3. Click on "Add a task" and in the "Program file:" field put in:
wget -O - http://www.Your_domain_name/cron.php

4. Set it up to run every hour and click "Save".

but after I go to scheduled Tasks and didn't find anything task in the list.

Then it's something they have scheduled on their end. You probably don't have the permission to stop it. If they won't or can't kill it on their end, you might consider moving to a new host.

Since you are still getting the emails it's obviously trying to run.

You can find VPS hosting at a number of hosts like Go Daddy. If they can't fix your problem then you should cancel & request a refund.

They could even start up a new VPS on Network Solutions.

http://www.godaddy.com/hosting/vps-hosting.aspx

oh, I found something under user name Root schedule:
which one should I stop it?


      S      Min      H      DM      M      DW      Command
            0      1      *      *      1      /usr/local/psa/libexec/modules/watchdog/cp/secur-check
            0      1      *      *      1      /usr/local/psa/libexec/modules/watchdog/cp/send-report weekly
            0      3      *      *      7      /usr/local/psa/libexec/modules/watchdog/cp/clean-reports
            10      1      *      *      *      /usr/local/psa/libexec/modules/watchdog/cp/clean-sysstats
            13,28,43,58      *      *      *      *      /usr/local/psa/admin/sbin/backupmng >/dev/null 2>&1
            15      1      *      *      *      /usr/local/psa/libexec/modules/watchdog/cp/pack-sysstats day
            15      1      *      *      1      /usr/local/psa/libexec/modules/watchdog/cp/pack-sysstats week
            15      1      1      *      *      /usr/local/psa/libexec/modules/watchdog/cp/pack-sysstats month
            15      1      1      *      *      /usr/local/psa/libexec/modules/watchdog/cp/pack-sysstats year
            20      1      *      *      *      /usr/local/psa/libexec/modules/watchdog/cp/clean-events
10 tasks total

thanks ,under drweb user, I found this task, should I just stop it is OK?

yes

very good help,better than networksolutions suck technician by far!!!!

Note that you may want drweb updates since it's anti-virus - http://www.drweb.com/?lng=en

The best solution is to change the updates from emailing you. Stopping the cron job should get rid of your emails though.

http://forum.parallels.com/showthread.php?100865-Dr-web-cron-emails-every-hour

Turn off the Cron Summary in the file /etc/drweb/drweb32.ini
# Enables output of update session log to stdout.
CronSummary = no