The sources said that the footage captured by the security camera installed at Ghosn's home showed him leaving on Sunday at noon, but not returning, reports Japanese public broadcaster NHK
They added that the camera did not capture any other suspicious persons entering or leaving the home around the time Ghosn came out.
The police suspect Ghosn may have left his home to meet with someone before heading to the airport.
Ghosn, 65, arrived in Lebanon on Monday via Turkey after jumping bail in Japan.
Hours later he confirmed he was in Lebanon, saying: "I am no longer a hostage of a Japanese judicial system where guilt presumption prevails, where discrimination is generalized and where human rights are breached.
"I haven't escaped justice - I have freed myself from injustice and political persecution," he added.
He did not reveal details about how he was able to leave Japan, although he denied having received help from his wife, Carole, Efe news reported.
The former Nissan chairman has Lebanese, Brazilian and French citizenship and holds two passports for the latter - one of which he used at Beirut customs, according to NHK.
Initially, all of Ghosn's passports were with the lawyers, but in May a Japanese court allowed the former Nissan chief to keep one of the two French passports after his bail conditions were changed.
He reportedly held it in a locked case, the keys to which were with his lawyers, according to sources NHK cited.
The database of the Immigration Services Agency of Japan had no record of his departure from the country, it added.
Meanwhile, on Thursday Lebanon's Justice Minister Albert Serhan said that the prosecutor had received a "red notice" from Interpol.
The request asks the Lebanese authorities to preventively arrest Ghosn, pending extradition or a similar mechanism.
( With inputs from IANS )