However, as mentioned in other answers, there is rebirth in the suttas, but no reincarnation. And certainly there is no soul or impermanent self. According to MN 38, there is no continuity of the same consciousness throughout one or more lives.
Rebirth is only the continuation of chained conditioned processes and the continuation of suffering. We don't assign any identity or self or soul to this rebirth.
However, the rebirth-of-self view is also used as skillful means or as a tool to get unenlightened persons with self view, to instill the mindset of being ashamed of doing evil (hiri) and having a fear of doing evil (otappa). This is found in AN 5.57 and in line with the Right View with effluents or taints in MN 117.
The Blessed One said: "There is the case, student, where a woman or
man is a killer of living beings, brutal, bloody-handed, given to
killing & slaying, showing no mercy to living beings. Through having
adopted & carried out such actions, on the break-up of the body, after
death, he/she reappears in the plane of deprivation, the bad
destination, the lower realms, hell. If, on the break-up of the body,
after death — instead of reappearing in the plane of deprivation, the
bad destination, the lower realms, hell — he/she comes to the human
state, then he/she is short-lived wherever reborn. This is the way
leading to a short life: to be a killer of living beings, brutal,
bloody-handed, given to killing & slaying, showing no mercy to living
beings.
"But then there is the case where a woman or man, having abandoned the
killing of living beings, abstains from killing living beings, and
dwells with the rod laid down, the knife laid down, scrupulous,
merciful, & sympathetic for the welfare of all living beings. Through
having adopted & carried out such actions, on the break-up of the
body, after death, he/she reappears in a good destination, in the
heavenly world. If, on the break-up of the body, after death — instead
of reappearing in a good destination, in the heavenly world — he/she
comes to the human state, then he/she is long-lived wherever reborn.
This is the way leading to a long life: to have abandoned the killing
of living beings, to abstain from killing living beings, to dwell with
one's rod laid down, one's knife laid down, scrupulous, merciful, &
sympathetic for the welfare of all living beings.
"There is the case where a woman or man is one who harms beings with
his/her fists, with clods, with sticks, or with knives. Through having
adopted & carried out such actions, on the break-up of the body, after
death, he/she reappears in the plane of deprivation... If instead
he/she comes to the human state, then he/she is sickly wherever
reborn. This is the way leading to sickliness: to be one who harms
beings with one's fists, with clods, with sticks, or with knives.
"But then there is the case where a woman or man is not one who harms
beings with his/her fists, with clods, with sticks, or with knives.
Through having adopted & carried out such actions, on the break-up of
the body, after death, he/she reappears in a good destination... If
instead he/she comes to the human state, then he/she is healthy
wherever reborn. This is the way leading to health: not to be one who
harms beings with one's fists, with clods, with sticks, or with
knives.
"There is the case, where a woman or man is ill-tempered & easily
upset; even when lightly criticized, he/she grows offended, provoked,
malicious, & resentful; shows annoyance, aversion, & bitterness.
Through having adopted & carried out such actions, on the break-up of
the body, after death, he/she reappears in the plane of deprivation...
If instead he/she comes to the human state, then he/she is ugly
wherever reborn. This is the way leading to ugliness: to be
ill-tempered & easily upset; even when lightly criticized, to grow
offended, provoked, malicious, & resentful; to show annoyance,
aversion, & bitterness.
"But then there is the case where a woman or man is not ill-tempered
or easily upset; even when heavily criticized, he/she doesn't grow
offended, provoked, malicious, or resentful; doesn't show annoyance,
aversion, or bitterness. Through having adopted & carried out such
actions, on the break-up of the body, after death, he/she reappears in
a good destination... If instead he/she comes to the human state, then
he/she is beautiful wherever reborn. This is the way leading to
beauty: not to be ill-tempered or easily upset; even when heavily
criticized, not to be offended, provoked, malicious, or resentful; nor
to show annoyance, aversion, & bitterness.
"There is the case where a woman or man is envious. He/she envies,
begrudges, & broods about others' gains, honor, respect, reverence,
salutations, & veneration. Through having adopted & carried out such
actions, on the break-up of the body, after death, he/she reappears in
the plane of deprivation... If instead he/she comes to the human
state, then he/she is not influential wherever reborn. This is the way
leading to not being influential: to be envious, to envy, begrudge, &
brood about others' gains, honor, respect, reverence, salutations, &
veneration.
MN 135