Assume that, if you are working in Data Center or running your application in VPS server, we can change static IP Address without downtime and reboot your Server.

Do carefully when update or changes in network configure file.

Check your current IP address pointing to the server,

​#  ifconfig

eth0      Link encap:Ethernet  HWaddr DF:BB:DD:CE:21:15
          inet addr:192.168.0.1 Bcast:192.168.3.3  Mask:255.255.255.0
          inet6 addr: ae40::226:3abb:fe9e:4af2/64 Scope:Link
          UP BROADCAST RUNNING MULTICAST  MTU:1500  Metric:1
          RX packets:11333949 errors:0 dropped:0 overruns:0 frame:0
          TX packets:111301 errors:0 dropped:0 overruns:0 carrier:0
          collisions:0 txqueuelen:1000
          RX bytes:6545516345 (2.7 GiB)  TX bytes:12362212 (33.9 MiB)
          Interrupt:11

lo        Link encap:Local Loopback
          inet addr:127.0.0.1  Mask:255.0.0.0
          inet6 addr: ::1/128 Scope:Host
          UP LOOPBACK RUNNING  MTU:16436  Metric:1
          RX packets:286 errors:0 dropped:0 overruns:0 frame:0
          TX packets:286 errors:0 dropped:0 overruns:0 carrier:0
          collisions:0 txqueuelen:0
          RX bytes:23628 (23.0 KiB)  TX bytes:23628 (23.0 KiB)


Before make changes  in configure file, keep a backup of eth0 original   file as "ifcfg-eth0".

Now update static IP address, NETMASK, BROADCAST, GATEWAY.
          
Your network device name is "eth0" so open configure file,
 
#  vim /etc/sysconfig/network-scripts/ifcfg-eth0

TYPE=Ethernet
DEVICE=eth0
IPADDR=192.168.1.100
NETMASK=255.255.255.0
BROADCAST=192.168.112.255
NETWORK=192.168.1.0
ONBOOT=yes
GATEWAY=192.168.1.1
UUID="37cf6cd6-6672-4eec-a1a6-6feb49b7bba5"
PREFIX=24
IPV6INIT=no
HWADDR=DF:BB:DD:CE:21:15

Once update static IP address ensure everything is correct in "ifcfg-eth0" file before save.



Finally restart your Network Service,
 
# /etc/init.d/network restart

Shutting down interface eth0:           [  OK  ]
Shutting down loopback interface:       [  OK  ]
Bringing up loopback interface:         [  OK  ]
Bringing up interface eth0:             [  OK  ]


Update Static IP Address in UI

Go to System -> Preferences -> Network Connections
 
-> Click On "Wired" Menu 
-> Click on "Add
-> Click on "IPV4 Settings" 

Fill the IP Address, Netmask, Gateway and DNS Servers. Restart your network service.
 
#  /etc/init.d/network restart