PC won’t start first time

This is not an isolated case. It happens to at least one other PC. A new clone PC has 663ASPRO motherboard with Via KT133 chipset, AMD Duron 750 processor, 128 MB SDRAM, 10 GB ATA100 hard drive, Creative 52x CDROM, floppy drive, internal 100MB Zipdrive. EAch morning the PC wont boot first time. Solution is turn it off and on again, then it starts. If it is turned on within a few minutes of being turned off, it starts ok. Help!