Two examples were built of this single-seat version of the Yak-30, said by the OKB to be the first sporting aircraft with an ejection seat. The airframe was that of the Yak-30, but the military version, designated Yak-104, could be equipped with the avionics and other items shown in a drawing. Alternative sights were the ASP-PF and PBK-2. External loads could include a ZB-500 or -360 tank, bombs up to 500kg, up to four rocket launchers (the largest the UB-32/S-5), up to four K-13/R-3S missiles or four ARS-240 rockets or four AOI-9 or UKP-23 gun pods, each with 250 rounds.

The two Yak-32s were built in late 1960, with callsigns 32 and 70. Both aircraft gave aerobatic displays at the 1961 Aviation Day at Tushino. The OKB has preserved one at Khodinka in house colours of red/white. The ASCC allocated the name 'Mantis'.