me->route -n
Kernel IP routing table
Destination Gateway Genmask Flags Metric Ref Use Iface
0.0.0.0 192.168.1.x 0.0.0.0 UG 600 0 0 
169.254.0.0 0.0.0.0 255.255.0.0 U 1000 0 0 
192.168.1.0 0.0.0.0 255.255.255.0 U 600 0 0 

I have tried:
1) disabled ufw and ran from the terminal(same with ufw enabled):
	sudo route del -net 169.254.0.0 gw 0.0.0.0

got SIOCDELRT: Invalid argument

2) commented link-local 169.254.0.0 line in the /etc/networks file and rebooted.

3) disabled avahi-deamon since it seems to be related.

Nothing works, I use static IP but always when I connect to my router and
run route -n command it appears there. So. do you guys have any other
ideas?

UPDATE:
Thanks to the answer below I have looked into avahi-autoipd manpage and
managed to find a solution. To remove the route:
	sudo route del -net 169.254.0.0 netmask 255.255.0.0 dev  metric 1000

where  is your network interface, such as wlan0 for example. However,
this would only remove it until next network association because it spawns all
over again. So to make it permanent, you need to modify the 
/etc/network/if-up.d/avahi-autoipd file, the root of the spawning.
OR
route del -net 169.254.0.0 netmask 255.255.0.0

should get rid of it.

I commented out the final part of the code:

	#if [ -x /bin/ip ]; then
	# route already present?
#	ip route show | grep -q '^169.254.0.0/16[[:space:]]' && exit 0

#	/bin/ip route add 169.254.0.0/16 dev $IFACE metric 1000 scope link
#elif [ -x /sbin/route ]; then
	# route already present?
#	/sbin/route -n | egrep -q "^169.254.0.0[[:space:]]" && exit 0

#	/sbin/route add -net 169.254.0.0 netmask 255.255.0.0 dev $IFACE metric 1000
#fi