Russian investigators are in no doubt about the cause
General Volodymyr Tkachov's offer, which is still to be accepted, comes a day after Russian investigators concluded that an anti-aircraft missile had brought down the plane.
Ukrainian Defence Minister Oleksandr Kuzmuk said that his country's forces - which were holding exercises at the time of the crash - had been involved in the tragedy.
He offered apologies to Israel, the victims and their relatives and to the Ukrainian president for the incident. BBC Moscow correspondent Robert Parsons says this amounts to an admission, albeit a grudging one, that Ukrainian forces were responsible for the tragedy.
'Preliminary data'
On Friday Russian news agencies quoted the secretary of the Ukrainian Security Council, Yevhen Marchuk, as saying that "preliminary data" suggested the missile could have been fired during Ukrainian military exercises in Crimea.
"We don't know the causes of this tragedy today, but we know that we are related to it," he said.
Russian Security Council Secretary Vladimir Rushailo said more than 350 holes had been discovered in the fragments recovered of the Tupolev-154, which was en route from Tel Aviv to Novosibirsk.
Russia's Sibir airline, which owned the aircraft, said on Friday that it would sue the Ukrainian military for millions of dollars if it was firmly established that a Ukrainian missile was responsible.
Investigating commission
The plane was en route from Israel to Novosibirsk when it crashed into the sea on 4 October.
Russia had initially focused on the possibility of a terrorist attack but the commission has ruled that out.
Ukraine initially vigorously denied US claims, based on satellite surveillance, that there was "every indication" the plane had been downed by a Ukrainian missile.
But on Wednesday Ukrainian President Leonid Kuchma said he would accept the results of the investigating commission "whatever they were".
On Thursday Mr Kuzmuk had himself offered to resign immediately after the disaster - but Mr Kuchma rejected it pending the results of the investigation.
Correspondents say Ukraine must fear negative international reaction - not least from Israel, where people were infuriated by Mr Kuchma's comment that mistakes happen everywhere and there have been worse tragedies.
Russia too has good cause for anger but can be expected to rein in its indignation.
President Putin has made a priority of improving relations with Ukraine, which he sees as a buffer against Nato's eastward expansion.